Adiabatic decay of internal solitons in a rotating ocean

Paper

Obregon, M. A., Raj, N. and Stepanyants, Y. A.. 2016. "Adiabatic decay of internal solitons in a rotating ocean." 20th Australasian Fluid Mechanics Conference (AFMC 2016). Perth, Australia 05 - 08 Dec 2016 Australia.
Paper/Presentation Title

Adiabatic decay of internal solitons in a rotating ocean

Presentation TypePaper
AuthorsObregon, M. A. (Author), Raj, N. (Author) and Stepanyants, Y. A. (Author)
Journal or Proceedings TitleProceedings of the 20th Australasian Fluid Mechanics Conference (AFMC 2016)
ERA Conference ID42494
Number of Pages4
Year2016
Place of PublicationAustralia
ISBN9781740523776
Web Address (URL) of Paperhttp://people.eng.unimelb.edu.au/imarusic/proceedings/20%20AFMC%20TOC.htm
Conference/Event20th Australasian Fluid Mechanics Conference (AFMC 2016)
Australasian Fluid Mechanics Conference
Event Details
Australasian Fluid Mechanics Conference
Rank
A
A
A
A
A
A
A
A
A
A
A
A
A
A
Event Details
20th Australasian Fluid Mechanics Conference (AFMC 2016)
Parent
Australasian Fluid Mechanics Conference
Delivery
In person
Event Date
05 to end of 08 Dec 2016
Event Location
Perth, Australia
Abstract

The adiabatic decay of different types of internal wave solitons caused by the Earth’ rotation is considered within the framework of the Gardner–Ostrovsky equation. The governing equation describing such processes includes quadratic and cubic nonlinear terms, as well as the Boussinesq and Coriolis dispersions. It is shown that at the early stage of evolution solitons gradually decay under the influence of weak Earth’ rotation. The characteristic decay time is derived for different types of solitons.

Keywordsrotating ocean, solitary wave, adiabatic decay, Gardner–Ostrovsky equation
ANZSRC Field of Research 2020401207. Fundamental and theoretical fluid dynamics
370803. Physical oceanography
490109. Theoretical and applied mechanics
Public Notes

© 2016 Australasian Fluids Mechanics Society (AFMS). Paper #498.

Byline AffiliationsUniversity of Malaga, Spain
School of Agricultural, Computational and Environmental Sciences
Institution of OriginUniversity of Southern Queensland
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Ahmed, A. A. Masrur, Deo, Ravinesh C., Feng, Qi, Ghahramani, Afshin, Raj, Nawin, Yin, Zhenliang and Yang, Linshan. 2021. "Deep learning hybrid model with Boruta-Random forest optimiser algorithm for streamflow forecasting with climate mode indices, rainfall, and periodicity." Journal of Hydrology. 599, pp. 1-23. https://doi.org/10.1016/j.jhydrol.2021.126350
An EEMD-BiLSTM algorithm integrated with Boruta random forest optimiser for significant wave height forecasting along coastal areas of Queensland, Australia
Raj, Nawin and Brown, Jason. 2021. "An EEMD-BiLSTM algorithm integrated with Boruta random forest optimiser for significant wave height forecasting along coastal areas of Queensland, Australia." Remote Sensing. 13 (8), pp. 1-20. https://doi.org/10.3390/rs13081456
Hydrodynamic Forces Exerting on an Oscillating Cylinder under Translational Motion in Water Covered by Compressed Ice
Stepanyants Yury and Sturova, Izolda. 2021. "Hydrodynamic Forces Exerting on an Oscillating Cylinder under Translational Motion in Water Covered by Compressed Ice ." Water: an open access journal. 13 (6). https://doi.org/10.3390/w13060822
Design of Alkali-Activated Slag-Fly Ash Concrete Mixtures Using Machine Learning
Gunasekara, C., Lokuge, W., Keskic, M., Raj, N., Law, D. W. and Setunge, S.. 2020. "Design of Alkali-Activated Slag-Fly Ash Concrete Mixtures Using Machine Learning." ACI Materials Journal. 117 (5), pp. 263-278. https://doi.org/10.14359/51727019
Deep Air Quality Forecasts: Suspended Particulate Matter Modeling With Convolutional Neural and Long Short-Term Memory Networks
Sharma, Ekta, Deo, Ravinesh C., Prasad, Ramendra, Parisi, Alfio and Raj, Nawin. 2020. "Deep Air Quality Forecasts: Suspended Particulate Matter Modeling With Convolutional Neural and Long Short-Term Memory Networks." IEEE Access. 8, pp. 209503-209516. https://doi.org/10.1109/ACCESS.2020.3039002
Description of Nonlinear Vortical Flows of Incompressible Fluid in Terms of a Quasi-Potential
Ermakov, Andrei and Stepanyants, Yury. 2021. "Description of Nonlinear Vortical Flows of Incompressible Fluid in Terms of a Quasi-Potential ." Physics. 3 (4), pp. 799-913. https://doi.org/10.3390/physics3040050
Waves on a compressed floating ice plate caused by motion of a dipole in water
Stepanyants, Yury and Sturova, Izolda V.. 2020. "Waves on a compressed floating ice plate caused by motion of a dipole in water." Journal of Fluid Mechanics. 907, pp. A7-1. https://doi.org/10.1017/jfm.2020.764
Emergence of envelop solitary waves from initial localised pulses within the Ostrovsky equation
Grimshaw, R. H. J. and Stepanyants, Y. A.. 2020. "Emergence of envelop solitary waves from initial localised pulses within the Ostrovsky equation." Radiophysics and Quantum Electronics. 63 (1), pp. 21-28. https://doi.org/10.1007/s11141-020-10031-1
The asymptotic approach to the description of two-dimensional symmetric soliton patterns
Stepanyants, Yury. 2020. "The asymptotic approach to the description of two-dimensional symmetric soliton patterns." Symmetry. 12 (10). https://doi.org/10.3390/sym12101586
Development of Flood Monitoring Index for daily flood risk evaluation: case studies in Fiji
Moishin, Mohammed, Deo, Ravinesh C., Prasad, Ramendra, Raj, Nawin and Abdulla, Shahab. 2021. "Development of Flood Monitoring Index for daily flood risk evaluation: case studies in Fiji." Stochastic Environmental Research and Risk Assessment. 35 (7), pp. 1387-1402. https://doi.org/10.1007/s00477-020-01899-6
A geometric model for estimating the volume and surface area of apples
Scarmana, Gabriel, McDougall, Kevin and Stepanyants, Yury. 2020. "A geometric model for estimating the volume and surface area of apples." Smart Surveyors for Land and Water Management (2020). Amsterdam, Netherlands 10 - 14 May 2020 Copenhagen, Denmark.
Kinematics of interacting solitons in two-dimensional space
Ostrovsky, L.A. and Stepanyants, Y. A.. 2020. "Kinematics of interacting solitons in two-dimensional space." Russian Journal of Earth Science. 20, pp. 1-11. https://doi.org/10.2205/2020ES000735
Nonlinear Models of Finite Amplitude Interfacial Waves in Shallow Two-Layer Fluid
Kurkina, Oxana, Kurkin, Andrey, Pelinovsky, Efim, Stepanyants, Yury and Talipova, Tatiana. 2019. "Nonlinear Models of Finite Amplitude Interfacial Waves in Shallow Two-Layer Fluid." Berezovski, Arkadi and Soomere, Tarmo (ed.) Applied Wave Mathematics II: Selected Topics in Solids, Fluids, and Mathematical Methods and Complexity. Cham, Switzerland. Springer. pp. 61-87
Nonlinear Waves in a Rotating Ocean (The Ostrovsky Equation and Its Generalizations and Applications)
Stepanyants, Yury. 2020. "Nonlinear Waves in a Rotating Ocean (The Ostrovsky Equation and Its Generalizations and Applications)." Russian Academy of Sciences, Izvestiya: Atmospheric and Oceanic Physics. 56 (1), pp. 16-32. https://doi.org/10.1134/S0001433820010077
Near real-time global solar radiation forecasting at multiple time-step horizons using the long short-term memory network
Huynh, Anh Ngoc‐Lan, Deo, Ravinesh C., An-Vo, Duc-Anh, Ali, Mumtaz, Raj, Nawin and Abdulla, Shahab. 2020. "Near real-time global solar radiation forecasting at multiple time-step horizons using the long short-term memory network." Energies. 13 (14). https://doi.org/10.3390/en13143517
Evolution of non-stationary pulses in a cold magnetized quark-gluon plasma
Fogaca, D. A., Fariello, R., Navarra, F. S. and Stepanyants, Y. A.. 2020. "Evolution of non-stationary pulses in a cold magnetized quark-gluon plasma." Communication on Nonlinear Sciences and Numerical Simulation. 83. https://doi.org/10.1016/j.cnsns.2019.105144
Transformation of Long Surface and Tsunami-Like Waves in the Ocean with a Variable Bathymetry
Ermakov, Andrei and Stepanyants, Yury. 2020. "Transformation of Long Surface and Tsunami-Like Waves in the Ocean with a Variable Bathymetry." Pure and Applied Geophysics. 177 (3), pp. 1675-1693. https://doi.org/10.1007/s00024-019-02259-4
Rossby waves in the ocean covered by compressed ice
Stepanyants, Y. A. and Sturova, I. V.. 2020. "Rossby waves in the ocean covered by compressed ice." Geophysical and Astrophysical Fluid Dynamics. 114 (3), pp. 306-316. https://doi.org/10.1080/03091929.2020.1712716
Soliton interaction with external forcing within the Korteweg–de Vries equation
Ermakov, Andrei and Stepanyants, Yury. 2019. "Soliton interaction with external forcing within the Korteweg–de Vries equation." Chaos: an interdisciplinary journal of nonlinear science. 29 (1). https://doi.org/10.1063/1.5063561
Wavelet-based 3-phase hybrid SVR model trained with satellite-derived predictors, particle swarm optimization and maximum overlap discrete wavelet transform for solar radiation prediction
Ghimire, Sujan, Deo, Ravinesh C., Raj, Nawin and Mi, Jianchun. 2019. "Wavelet-based 3-phase hybrid SVR model trained with satellite-derived predictors, particle swarm optimization and maximum overlap discrete wavelet transform for solar radiation prediction." Renewable and Sustainable Energy Reviews. 113, pp. 1-19. https://doi.org/10.1016/j.rser.2019.109247
Deep solar radiation forecasting with convolutional neural network and long short-term memory network algorithms
Ghimire, Sujan, Deo, Ravinesh C., Raj, Nawin and Mi, Jianchun. 2019. "Deep solar radiation forecasting with convolutional neural network and long short-term memory network algorithms." Applied Energy. 253, pp. 1-20. https://doi.org/10.1016/j.apenergy.2019.113541
Deep Learning Neural Networks Trained with MODIS Satellite-Derived Predictors for Long-Term Global Solar Radiation Prediction
Ghimire, Sujan, Deo, Ravinesh C., Raj, Nawin and Mi, Jianchun. 2019. "Deep Learning Neural Networks Trained with MODIS Satellite-Derived Predictors for Long-Term Global Solar Radiation Prediction." Energies. 12 (12), pp. 1-42. https://doi.org/10.3390/en12122407
The effects of interplay between the rotation and shoaling for a solitary wave on variable topography
Stepanyants, Yury. 2019. "The effects of interplay between the rotation and shoaling for a solitary wave on variable topography." Studies in Applied Mathematics. 142 (4 (Special Issue)), pp. 465-486. https://doi.org/10.1111/sapm.12255
Global solar radiation prediction by ANN integrated with European Centre for medium range weather forecast fields in solar rich cities of Queensland Australia
Ghimire, Sujan, Deo, Ravinesh C., Downs, Nathan J. and Raj, Nawin. 2019. "Global solar radiation prediction by ANN integrated with European Centre for medium range weather forecast fields in solar rich cities of Queensland Australia." Journal of Cleaner Production. 216, pp. 288-310. https://doi.org/10.1016/j.jclepro.2019.01.158
Helical solitons in vector modified Korteweg-de Vries equations
Pelinovsky, Dmitry E. and Stepanyants, Yury A.. 2018. "Helical solitons in vector modified Korteweg-de Vries equations." Physics Letters A. 382 (44), pp. 3165-3171. https://doi.org/10.1016/j.physleta.2018.08.015
Optimization of windspeed prediction using an artificial neural network compared with a genetic programming model
Deo, Ravinesh C., Ghimire, Sujan, Downs, Nathan J. and Raj, Nawin. 2018. "Optimization of windspeed prediction using an artificial neural network compared with a genetic programming model." Kim, Dookie, Roy, Sanjiban Sekhar, Lansivaara, Tim, Deo, Ravinesh C. and Samui, Pijush (ed.) Handbook of research on predictive modeling and optimization methods in science and engineering. Hershey, United States. IGI Global. pp. 328-359
Dynamics of particles and bubbles under the action of acoustic radiation force
Ostrovsky, Lev A. and Stepanyants, Yury A.. 2018. "Dynamics of particles and bubbles under the action of acoustic radiation force." Edelman, Mark, Macau, Elbert E. N. and Sanjuan, Miguel A. F. (ed.) Chaotic, fractional, and complex dynamics: New insights and perspectives. Germany. Springer. pp. 205-230
Input selection and data-driven model performance optimization to predict the Standardized Precipitation and Evaporation Index in a drought-prone region
Mouatadid, Soukayna, Raj, Nawin, Deo, Ravinesh C. and Adamowski, Jan F.. 2018. "Input selection and data-driven model performance optimization to predict the Standardized Precipitation and Evaporation Index in a drought-prone region." Atmospheric Research. 212, pp. 130-149. https://doi.org/10.1016/j.atmosres.2018.05.012
Modeling of Bose–Einstein condensation in a water tank
Rousseaux, Germain and Stepanyants, Yury. 2018. "Modeling of Bose–Einstein condensation in a water tank." Abcha, Nizar, Pelinovsky, Efim and Mutabazi, Innocent (ed.) Nonlinear waves and pattern dynamics. Cham, Switzerland. Springer. pp. 91-102
Self-adaptive differential evolutionary extreme learning machines for long-term solar radiation prediction with remotely-sensed MODIS satellite and Reanalysis atmospheric products in solar-rich cities
Ghimire, Sujan, Deo, Ravinesh C., Downs, Nathan J. and Raj, Nawin. 2018. "Self-adaptive differential evolutionary extreme learning machines for long-term solar radiation prediction with remotely-sensed MODIS satellite and Reanalysis atmospheric products in solar-rich cities." Remote Sensing of Environment: an interdisciplinary journal. 212, pp. 176-198. https://doi.org/10.1016/j.rse.2018.05.003
Adiabatic decay of internal solitons due to Earth’s rotation within the framework of the Gardner–Ostrovsky equation
Obregon, Maria, Raj, Nawin and Stepanyants, Yury. 2018. "Adiabatic decay of internal solitons due to Earth’s rotation within the framework of the Gardner–Ostrovsky equation." Chaos: an interdisciplinary journal of nonlinear science. 28 (3), pp. 1-11. https://doi.org/10.1063/1.5021864
Soliton solutions to the fifth-order Korteweg–de Vries equation and their applications to surface and internal water waves
Khusnutdinova, K. R., Stepanyants, Y. A. and Tranter, M. R.. 2018. "Soliton solutions to the fifth-order Korteweg–de Vries equation and their applications to surface and internal water waves." Physics of Fluids. 30 (2). https://doi.org/10.1063/1.5009965
Decay of Benjamin–Ono solitons under the influence of dissipation
Grimshaw, Roger H., Smyth, Noel F. and Stepanyants, Yury A.. 2018. "Decay of Benjamin–Ono solitons under the influence of dissipation." Wave Motion. 78, pp. 98-115. https://doi.org/10.1016/j.wavemoti.2018.01.005
Resonance properties of forced oscillations of particles and gaseous bubbles in a viscous fluid at small Reynolds numbers
Hassan, H. K. and Stepanyants, Y. A.. 2017. "Resonance properties of forced oscillations of particles and gaseous bubbles in a viscous fluid at small Reynolds numbers." Physics of Fluids. 29 (10). https://doi.org/10.1063/1.5002152
Particle dynamics in a viscous fluid under the action of acoustic radiation force
Hassan, Hassan K., Ostrovsky, Lev A. and Stepanyants, Yury A.. 2017. "Particle dynamics in a viscous fluid under the action of acoustic radiation force." Interdisciplinary Journal of Discontinuity, Nonlinearity, and Complexity. 6 (3), pp. 317-327. https://doi.org/10.5890/DNC.2017.09.006
Internal solitary waves in two-layer fluids at near-critical situation
Kurkina, O., Singh, N. and Stepanyants, Y.. 2014. "Internal solitary waves in two-layer fluids at near-critical situation." 19th Australasian Fluid Mechanics Conference (AFMC 2014). Melbourne, Australia 08 - 11 Dec 2014 Australia.
Decay of Kadomtsev–Petviashvili lumps in dissipative media
Clarke, S., Gorshkov, K., Grimshaw, R. and Stepanyants, Y.. 2018. "Decay of Kadomtsev–Petviashvili lumps in dissipative media." Physica D: Nonlinear Phenomena. 366, pp. 43-50. https://doi.org/10.1016/j.physd.2017.11.009
Multi-lump structures in the Kadomtsev–Petviashvili equation
Stepanyants, Yury. 2017. "Multi-lump structures in the Kadomtsev–Petviashvili equation." Aronson, Igor S., Pikovsky, Arkady, Rulkov, Nikolai F. and Tsimring, Lev S. (ed.) Advances in dynamics, patterns, cognition: challenges in complexity. Cham, Switzerland. Springer. pp. 307-324
Soliton spectra of random water waves in shallow basins
Giovanangeli, J.-P., Kharif, C. and Stepanyants, Y.A.. 2018. "Soliton spectra of random water waves in shallow basins." Mathematical Modelling of Natural Phenomena (MMNP). 13 (4), pp. 1-20. https://doi.org/10.1051/mmnp/2018018
Obliquely propagating skew KP lumps
Singh, N. and Stepanyants, Y.. 2016. "Obliquely propagating skew KP lumps." Wave Motion. 64, pp. 92-102. https://doi.org/10.1016/j.wavemoti.2016.03.005
Wave blocking phenomenon of surface waves on a shear flow with a constant vorticity
Maissa, Philippe, Rousseaux, Germain and Stepanyants, Yury. 2016. "Wave blocking phenomenon of surface waves on a shear flow with a constant vorticity." Physics of Fluids. 28 (3). https://doi.org/10.1063/1.4942116
Wave scattering in spatially inhomogeneous currents
Churilov, Semyon, Ermakov, Andrei and Stepanyants, Yury. 2017. "Wave scattering in spatially inhomogeneous currents." Physical Review D. 96 (6), p. 064016. https://doi.org/10.1103/PhysRevD.96.064016
Scattering of long water waves in a canal with rapidly varying cross-section in the presence of a current
Churilov, Semyon, Ermakov, Andrei, Rousseaux, Germain and Stepanyants, Yury. 2017. "Scattering of long water waves in a canal with rapidly varying cross-section in the presence of a current." Physcial Review Fluids. 2 (9), p. 094805. https://doi.org/10.1103/PhysRevFluids.2.094805
Modulational instability of wave trains in a rotating ocean
Nikitenkova, S. P., Singh, N. N. and Stepanyants, Y. A.. 2016. "Modulational instability of wave trains in a rotating ocean." 20th Australasian Fluid Mechanics Conference (AFMC 2016). Perth, Australia 05 - 08 Dec 2016 Australia.
Transformation of internal waves at the bottom ledge
Churaev, E. N., Semin, S. V. and Stepanyants, Y. A.. 2014. "Transformation of internal waves at the bottom ledge." 19th Australasian Fluid Mechanics Conference (AFMC 2014). Melbourne, Australia 08 - 11 Dec 2014 Australia.
Description of vortical flows of incompressible fluid in terms of quasi-potential function
Ermakov, A. M. and Stepanyants, Y. A.. 2016. "Description of vortical flows of incompressible fluid in terms of quasi-potential function." 20th Australasian Fluid Mechanics Conference (AFMC 2016). Perth, Australia 05 - 08 Dec 2016 Australia.
Interaction of solitons with long waves in a rotating fluid
Ostrovsky, L. A. and Stepanyants, Y. A.. 2016. "Interaction of solitons with long waves in a rotating fluid." Physica D: Nonlinear Phenomena. 333, pp. 266-275. https://doi.org/10.1016/j.physd.2016.02.008
Negative energy waves in shear flow with a linear profile
Maissa, Philippe, Rousseaux, Germain and Stepanyants, Yury. 2016. "Negative energy waves in shear flow with a linear profile." European Journal of Mechanics B: Fluids. 56, pp. 192-199. https://doi.org/10.1016/j.euromechflu.2016.01.003
Formation of wave packets in the Ostrovsky equation for both normal and anomalous dispersion
Grimshaw, Roger, Stepanyants, Yury and Alias, Azwani. 2016. "Formation of wave packets in the Ostrovsky equation for both normal and anomalous dispersion." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 472 (2185), pp. 1-20. https://doi.org/10.1098/rspa.2015.0416
Transformation of surface and internal waves on a bottom step
Kurkin, Andrey, Semin, Sergey and Stepanyants, Yury. 2015. "Transformation of surface and internal waves on a bottom step." Fundamental and Applied Hydrophysics (in Russian). 8 (3), pp. 3-19.
Modulational stability of weakly nonlinear wave-trains in media with small- and large-scale dispersions
Nikitenkova, S., Singh, N. and Stepanyants, Y.. 2015. "Modulational stability of weakly nonlinear wave-trains in media with small- and large-scale dispersions." Chaos: an interdisciplinary journal of nonlinear science. 25 (12), pp. 123113-1. https://doi.org/10.1063/1.4937362
Transient free surface flow past a two-dimensional flat stern
Ogilat, Osama and Stepanyants, Yury. 2015. "Transient free surface flow past a two-dimensional flat stern." Discontinuity, Nonlinearity and Complexity. 4 (3), pp. 353-369. https://doi.org/10.5890/DNC.2015.09.010
The Bernoulli integral for a certain class of non-stationary viscous vortical flows of incompressible fluid
Stepanyants, Y. A. and Yakubovich, E. I.. 2015. "The Bernoulli integral for a certain class of non-stationary viscous vortical flows of incompressible fluid." Studies in Applied Mathematics. 135 (3), pp. 295-309. https://doi.org/10.1111/sapm.12087
Transformation of waves over a bottom step
Kurkin, Andrey, Semin, Sergey and Stepanyants, Yury. 2015. Transformation of waves over a bottom step. Nizhny Novgorod (Russia). Nizhny Novgorod State Technical University.
Transformation of surface waves over a bottom step
Kurkin, A. A., Semin, S. V. and Stepanyants, Yu A.. 2015. "Transformation of surface waves over a bottom step." Russian Academy of Sciences, Izvestiya: Atmospheric and Oceanic Physics. 51 (2), pp. 214-223. https://doi.org/10.1134/S0001433815020097
Modeling of transformation of surface wave packets interacting with abrupt bottom change
Brovchenko, Igor, Maderich, Vladimir, Semin, Sergey, Stepanyants, Yury and Terletska, Kateryna. 2015. "Modeling of transformation of surface wave packets interacting with abrupt bottom change." Applied Hydromechanics. 17 (1), pp. 3-9.
Dynamics of two charged particles in a creeping flow
Hassan, H. K. and Stepanyants, Y. A.. 2015. "Dynamics of two charged particles in a creeping flow." Journal of Physical Mathematics. 6 (2). https://doi.org/10.4172/2090-0902.1000145
Beyond the KdV: post-explosion development
Ostrovsky, L., Pelinovsky, E., Shrira, V. and Stepanyants, Y.. 2015. "Beyond the KdV: post-explosion development." Chaos: an interdisciplinary journal of nonlinear science. 25 (9), pp. 1-13. https://doi.org/10.1063/1.4927448
Generalized Korteweg–de Vries equation for internal waves in two-layer fluid
Giniyatullin, A. R., Kurkin, A. A., Kurkina, O. E. and Stepanyants, Y. A.. 2014. "Generalized Korteweg–de Vries equation for internal waves in two-layer fluid." Fundamental and Applied Hydrophysics (in Russian). 7 (4), pp. 16-28.
Transformation of internal waves passing over a bottom step
Churaev, Egor N., Semin, Sergey V. and Stepanyants, Yuri A.. 2015. "Transformation of internal waves passing over a bottom step." Journal of Fluid Mechanics. 768, pp. R3-1. https://doi.org/10.1017/jfm.2015.92
Structure of internal solitary waves in two-layer fluid at near-critical situation
Kurkina, O., Singh, N. and Stepanyants, Y.. 2015. "Structure of internal solitary waves in two-layer fluid at near-critical situation." Communications in Nonlinear Science and Numerical Simulation. 22 (1-3), pp. 1235-1242. https://doi.org/10.1016/j.cnsns.2014.09.018
Dispersion properties of waves on a surface of viscous fluid covered by an elastic film
Averbukh, E. L., Kurkin, A. A., Stepanyants, Y. A. and Talipova, T. G.. 2014. "Dispersion properties of waves on a surface of viscous fluid covered by an elastic film." Fluid Dynamics. 49 (6), pp. 796-803. https://doi.org/10.1134/S0015462814060118
Transformation of narrowband wavetrains of surface gravity waves passing over a bottom step
Giniyatullin, A. R., Kurkin, A. A., Semin, S. V. and Stepanyants, Y. A.. 2014. "Transformation of narrowband wavetrains of surface gravity waves passing over a bottom step." Mathematical Modelling of Natural Phenomena (MMNP). 9 (5), pp. 73-82. https://doi.org/10.1051/mmnp/20149505
On stationary solutions of the reduced Gardner–Ostrovsky equation
Obregon, Maria and Stepanyants, Yury. 2014. "On stationary solutions of the reduced Gardner–Ostrovsky equation." Discontinuity, Nonlinearity and Complexity. 3 (4), pp. 445-456. https://doi.org/10.5890/DNC.2014.12.007
Nonlinear vector waves of a flexural mode in a chain model of atomic particles
Nikitenkova, S. P., Raj, N. and Stepanyants, Y. A.. 2015. "Nonlinear vector waves of a flexural mode in a chain model of atomic particles." Communications in Nonlinear Science and Numerical Simulation. 20 (3), pp. 731-742. https://doi.org/10.1016/j.cnsns.2014.05.031
Interaction of gaseous bubbles under the action of radiation modified Bjerknes force
Stepanyants, Yury and Yeoh, Guan. 2008. "Interaction of gaseous bubbles under the action of radiation modified Bjerknes force." 22nd International Congress of Theoretical and Applied Mechanics (IC-TAM2008). Adelaide, Australia 24 - 29 Aug 2008
Recent results on the problem of wave-current interaction including water depth, surface tension/amplitude and vorticity effects
Maissa, Philippe, Rousseaux, Germain and Stepanyants, Yury. 2013. "Recent results on the problem of wave-current interaction including water depth, surface tension/amplitude and vorticity effects." 7th International Conference on Coastal Dynamics. Arcachon, France 24 - 28 Jun 2013 Arcachon, France.
Nonlinear spectra of shallow water waves
Giovanangeli, J. -P., Kharif, C., Raj, N. and Stepanyants, Y.. 2013. "Nonlinear spectra of shallow water waves." Oceans - San Diego, 2013. San Diego, United States 23 - 26 Sep 2013 United States. IEEE (Institute of Electrical and Electronics Engineers). https://doi.org/10.23919/OCEANS.2013.6741132
Numerical study of nonlinear wave processes by means of discrete chain models
Obregon, M., Raj, N. and Stepanyants, Y.. 2012. "Numerical study of nonlinear wave processes by means of discrete chain models." Gu, Y. T. and Saha, Suvash C. (ed.) 4th International Conference on Computational Methods (ICCM 2012). Gold Coast, Australia 25 - 28 Nov 2012 Brisbane, Australia.
On numerical solution of the Gardner Ostrovsky equation
Obregon, M. A. and Stepanyants, Y. A.. 2012. "On numerical solution of the Gardner Ostrovsky equation." Mathematical Modelling of Natural Phenomena (MMNP). 7 (2), pp. 113-130. https://doi.org/10.1051/mmnp/20127210
Stationary gravity waves with the zero mean vorticity in stratified fluid
Clamond, D. and Stepanyants, Y.. 2012. "Stationary gravity waves with the zero mean vorticity in stratified fluid." Studies in Applied Mathematics. 128 (1), pp. 59-85. https://doi.org/10.1111/j.1467-9590.2011.00530.x
Measuring rate of change of oxygen concentration and intrinsic oxidation rate in a pile of material
Bennett, John, Stepanyants, Yury and Ritchie, Ian. 2004. Measuring rate of change of oxygen concentration and intrinsic oxidation rate in a pile of material. WO 2004/072636 A1
Internal solitons in laboratory experiments: Comparison with theoretical models
Ostrovsky, L A. and Stepanyants, Y. A.. 2005. "Internal solitons in laboratory experiments: Comparison with theoretical models." Chaos: an interdisciplinary journal of nonlinear science. 15. https://doi.org/10.1063/1.2107087
Measurement of hydraulic conductivity using a radioactive or activatable tracer
Waring, Christopher Leslie, Airey, Peter Lewis and Stepanyants, Yury A.. 2007. Measurement of hydraulic conductivity using a radioactive or activatable tracer. AU2007231556
Measurement of hydraulic conductivity, porosity and lithology by neutron activation borehole logging at high spatial resolution increments
Waring, C. L., Stepanyants, Y. A., Hankin, S. I., Airey, P. L. and Peterson, M. A.. 2009. "Measurement of hydraulic conductivity, porosity and lithology by neutron activation borehole logging at high spatial resolution increments." Milne-Home, William A. (ed.) IAH Groundwater in The Sydney Basin Symposium (2009). Sydney, Australia 04 - 05 Aug 2009 Sydney, NSW, Australia.
Internal solitons in the ocean and their effect on underwater sound
Apel, John R., Ostrovsky, Lev A., Stepanyants, Yury A. and Lynch, James F.. 2007. "Internal solitons in the ocean and their effect on underwater sound." The Journal of the Acoustical Society of America. 121 (2), pp. 695-722. https://doi.org/10.1121/1.2395914
Influence of bottom boundary conditions for temperature on the heat distribution within oxidising heaps
Crawford, Jagoda and Stepanyants, Yury. 2005. "Influence of bottom boundary conditions for temperature on the heat distribution within oxidising heaps." Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal. 46, pp. C1104-C1125.
Propagation of waves in shear flows
Fabrikant, Anatoly and Stepanyants, Yury. 1998. Propagation of waves in shear flows. Singapore. World Scientific Publishing.
Dispersion of long gravity-capillary surface waves and asymptotic equations for solitons
Stepanyants, Yury. 2005. "Dispersion of long gravity-capillary surface waves and asymptotic equations for solitons." Proceedings of the Russian Academy of Engineering Sciences Series: Applied Mathematics and Mechanics. 14, pp. 33-40.
Scalar description of three-dimensional vortex flows of incompressible fluid
Stepanyants, Yu. A. and Yakubovich, Evsey. 2011. "Scalar description of three-dimensional vortex flows of incompressible fluid." Doklady Physics. 56 (2), pp. 130-133. https://doi.org/10.1134/S1028335811020169
The inverse problem for the Gross-Pitaevskii equation
Malomed, Boris A. and Stepanyants, Yury A.. 2010. "The inverse problem for the Gross-Pitaevskii equation." Chaos: an interdisciplinary journal of nonlinear science. 20 (1). https://doi.org/10.1063/1.3367776
Dynamics of two charged particles in viscous fluid at small Reynolds numbers
Stepanyants, Y. A. and Strunin, D. V.. 2011. "Dynamics of two charged particles in viscous fluid at small Reynolds numbers." de Oliveira, Cassiano (ed.) 2011 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Enginnering (MC 2011). Rio de Janeiro, Brazil 08 - 12 May 2011 Rio de Janeiro.
Nanoparticle dynamics in a viscous fluid at small Reynolds numbers
Stepanyants, Yury A. and Yeoh, Guan H.. 2010. "Nanoparticle dynamics in a viscous fluid at small Reynolds numbers." Teh, Kian, Davies, Ian and Howard, Ian (ed.) 6th Australasian Congress on Applied Mechanics (ACAM 6). Perth, Western Australia 12 - 15 Dec 2010 Perth, Australia.
Localised nonlinear optical modes and the corresponding support structures: exact solutions to the nonlinear Schrodinger equation with external potentials
Malomed, B. A. and Stepanyants, Y. A.. 2010. "Localised nonlinear optical modes and the corresponding support structures: exact solutions to the nonlinear Schrodinger equation with external potentials." ICEAA 2010: International Conference on Electromagnetics in Advanced Applications. Sydney, Australia 20 - 24 Sep 2010 Sydney, Australia. https://doi.org/10.1109/ICEAA.2010.5651681
Lump solutions of 2D generalized Gardner equation
Stepanyants, Y. A., Ten, I. K. and Tomita, H.. 2006. "Lump solutions of 2D generalized Gardner equation." Luo, Albert C. J., Dai, Liming and Hamidzadeh, Hamid R. (ed.) Conference on Nonlinear Science and Complexity (2006). Beijing, China 07 - 12 Aug 2006 Singapore.
Internal solitons in the ocean
Apel, John R., Ostrovsky, Lev A., Stepanyants, Yury A. and Lynch, James F.. 2006. Internal solitons in the ocean. Woods Hole, MA. United States. Woods Hole Oceanographic Institution.
Tsunami surge in a river: a hydraulic jump in an inhomogeneous channel
Caputo, Jean-Guy and Stepanyants, Y. A.. 2007. "Tsunami surge in a river: a hydraulic jump in an inhomogeneous channel." Kundu, Anjan (ed.) Tsunami and nonlinear waves. Berlin, Germany. Springer. pp. 97-112
Solutions classification to the extended reduced Ostrovsky equation
Stepanyants, Yury A.. 2008. "Solutions classification to the extended reduced Ostrovsky equation." Symmetry, Integrability and Geometry: Methods and Applications. 4. https://doi.org/10.3842/SIGMA.2008.073
Mechanisms of particle transport acceleration in porous media
Panfilov, M., Panfilova, I. and Stepanyants, Y.. 2008. "Mechanisms of particle transport acceleration in porous media." Transport in Porous Media. 74 (1), pp. 49-71. https://doi.org/10.1007/s11242-007-9201-9
Particle and bubble dynamics in a creeping flow
Stepanyants, Yury and Yeoh, Guan. 2009. "Particle and bubble dynamics in a creeping flow." European Journal of Mechanics B: Fluids. 28 (5), pp. 619-629. https://doi.org/10.1016/j.euromechflu.2009.04.004
On stationary solutions of the reduced Ostrovsky equation: periodic waves, compactons and compound solitons
Stepanyants, Yury. 2006. "On stationary solutions of the reduced Ostrovsky equation: periodic waves, compactons and compound solitons." Chaos, Solitons and Fractals. 28 (1), pp. 193-204. https://doi.org/10.1016/j.chaos.2005.05.020
The motion of a cylindrical body in a stratified fluid under the action of a radiation force
Kozyrev, O. R., Reznik, S. N. and Stepanyants, Yu. A.. 2009. "The motion of a cylindrical body in a stratified fluid under the action of a radiation force." Journal of Applied Mathematics and Mechanics. 73 (2), pp. 188-195. https://doi.org/10.1016/j.jappmathmech.2009.04.008
Front solutions of Richards' equation
Caputo, Jean-Guy and Stepanyants, Yury. 2008. "Front solutions of Richards' equation." Transport in Porous Media. 74 (1), pp. 1-20. https://doi.org/10.1007/s11242-007-9180-x
Burgers-Rott vortices with surface tension
Stepanyants, Yury A. and Yeoh, Guan H.. 2008. "Burgers-Rott vortices with surface tension." Zeitschrift fuer Angewandte Mathematik und Physik. 59 (6), pp. 1057-1068. https://doi.org/10.1007/s00033-008-7071-9
Stationary bathtub vortices and a critical regime of liquid discharge
Stepanyants, Yury and Yeoh, Guan. 2008. "Stationary bathtub vortices and a critical regime of liquid discharge." Journal of Fluid Mechanics. 604 (1), pp. 77-98. https://doi.org/10.1017/S0022112008001080
Modelling internal solitary waves on the Australian North West Shelf
Grimshaw, Roger, Pelinovsky, Efim, Stepanyants, Yury and Talipova, Tatiana. 2006. "Modelling internal solitary waves on the Australian North West Shelf." Marine and Freshwater Research. 57 (3), pp. 265-272. https://doi.org/10.1071/MF05016