4901. Applied mathematics


Title4901. Applied mathematics
Parent49. Mathematical Sciences

Latest research outputs

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Frequency downshifting in decaying wavetrains on the ocean surface covered by ice floes
Slunyaev, A. V. and Stepanyants, Y. A.. 2024. "Frequency downshifting in decaying wavetrains on the ocean surface covered by ice floes." Physics of Fluids. 36 (3). https://doi.org/10.1063/5.0200538

Article

Solitons and lumps in the cylindrical Kadomtsev–Petviashvili equation. II. Lumps and their interactions
Zhang, Zhao, Hu, Wencheng, Guo, Qi and Stepanyants, Yury. 2024. "Solitons and lumps in the cylindrical Kadomtsev–Petviashvili equation. II. Lumps and their interactions." Chaos: an interdisciplinary journal of nonlinear science. 34 (1). https://doi.org/10.1063/5.0175716

Article

Solitons and lumps in the cylindrical Kadomtsev–Petviashvili equation. I. Axisymmetric solitons and their stability
Hu, Wencheng, Zhang, Zhao, Guo, Qi and Stepanyants, Yury. 2024. "Solitons and lumps in the cylindrical Kadomtsev–Petviashvili equation. I. Axisymmetric solitons and their stability." Chaos: an interdisciplinary journal of nonlinear science. 34 (1). https://doi.org/10.1063/5.0175696

Article

Scattering of gravity-capillary waves on a bottom step
Meylan, M.H. and Stepanyants, Y.A.. 2024. "Scattering of gravity-capillary waves on a bottom step." Physics of Fluids. 36. https://doi.org/10.1063/5.0181237

Article

Hybrid Deep Learning Model for Wave Height Prediction in Australia's Wave Energy Region
Ahmed, Abul Abrar Masrur, Jui, S Janifer Jabin, AL-Musaylh, Mohanad S., Raj, Nawin, Saha, Reepa, Deo, Ravinesh C and Saha, Sanjoy Kumar. 2024. "Hybrid Deep Learning Model for Wave Height Prediction in Australia's Wave Energy Region." Applied Soft Computing. 150. https://doi.org/10.1016/j.asoc.2023.111003

Article

Finding exact solutions for selected nonlinear evolution differential equations
Bhanot, Rajeev P., Mohammed, Mayada G.. and Strunin, Dmitry V.. 2023. "Finding exact solutions for selected nonlinear evolution differential equations." Journal of Interdisciplinary Mathematics. 26 (7), pp. 1461-1470. https://doi.org/10.47974/JIM-1566

Article

Symmetry-breaking transitions in quiescent and moving solitons in fractional couplers
Strunin, Dmitry V. and Malomed, Boris A.. 2023. "Symmetry-breaking transitions in quiescent and moving solitons in fractional couplers." Physical Review E. 107 (6). https://doi.org/10.1103/PhysRevE.107.064203

Article

Individual preferences, government policy, and COVID-19: A game-theoretic epidemiological analysis
Zhou, Yuxun, Rahman, Mohammad Mafizur, Khanam, Rasheda and Taylor, Brad R.. 2023. "Individual preferences, government policy, and COVID-19: A game-theoretic epidemiological analysis." Applied Mathematical Modelling: simulation and computation for engineering and environmental systems. 122, pp. 401-416. https://doi.org/10.1016/j.apm.2023.06.014

Article

Creation of weakly interacting lumps by degeneration of lump chains in the KP1 equation
Zhang, Zhao, Guo, Qi and Stepanyants, Yury. 2023. "Creation of weakly interacting lumps by degeneration of lump chains in the KP1 equation." Chaos, Solitons and Fractals. 170, pp. 1-13. https://doi.org/10.1016/j.chaos.2023.113398

Article

Solitary waves and their interactions in the cylindrical Korteweg–de Vries equation
Hu, Wencheng, Ren, Jingli and Stepanyants, Y.. 2023. "Solitary waves and their interactions in the cylindrical Korteweg–de Vries equation." Symmetry. 15. https://doi.org/10.3390/sym15020413

Article

Alternative Method to Resolve the Principal–Principal Conflict—A New Perspective Based on Contract Theory and Negotiation
Zhou, Yuxun, Rahman, Mohammad Mafizur, Khanam, Rasheda and Taylor, Brad R.. 2023. "Alternative Method to Resolve the Principal–Principal Conflict—A New Perspective Based on Contract Theory and Negotiation." Mathematics. 11 (2), pp. 1-31. https://doi.org/10.3390/math11020442

Article

Estimation of papaya volume and surface area using a dual ellipsoid representation and image analysis
Scarmana, Gabriel. 2022. "Estimation of papaya volume and surface area using a dual ellipsoid representation and image analysis." Staiger, Rudolf (ed.) 27th International Federation of Surveyors International Congress (FIG 2022): Volunteering for the Future – Geospatial Excellence for a Better Living. Warsaw, Poland Warsaw, Poland.

Paper

Interaction of internal solitary waves with long periodic waves within the rotation modified Benjamin-Ono equation
Grimshaw, R. H. J., Smyth, N. F. and Stepanyants, Y. A.. 2021. "Interaction of internal solitary waves with long periodic waves within the rotation modified Benjamin-Ono equation." Physica D: Nonlinear Phenomena. 419, pp. 1-10. https://doi.org/10.1016/j.physd.2021.132867

Article

Multi-lump formations from lump chains and plane solitons in the KP1 equation
Zhang, Zhao, Yang, Xiangyu, Li, Biao, Guo, Qi and Stepanyants, Yury. 2023. "Multi-lump formations from lump chains and plane solitons in the KP1 equation." Nonlinear Dynamics. 111 (2), p. 1625–1642. https://doi.org/10.1007/s11071-022-07903-8

Article

Numerical investigation of two models of nonlinear fractional reaction subdiffusion equations
Osman, Sheelan and Langlands, Trevor. 2022. "Numerical investigation of two models of nonlinear fractional reaction subdiffusion equations." Fractional Calculus and Applied Analysis. 25 (6), pp. 2166-2192. https://doi.org/10.1007/s13540-022-00096-2

Article

Peculiarities of resonant interactions of lump chains within the KP1 equation
Zhang, Zhao, Li, Biao, Chen, Junchao, Guo, Qi and Stepanyants, Yury. 2022. "Peculiarities of resonant interactions of lump chains within the KP1 equation." Physica Scripta: an international journal for experimental and theoretical physics. 97 (11), pp. 1-14. https://doi.org/10.1088/1402-4896/ac99aa

Article

The impact of penalty and subsidy mechanisms on the decisions of the government, businesses, and consumers during COVID-19 — Tripartite evolutionary game theory analysis
Zhou, Yuxun, Rahman, Mohammad Mafizur, Khanam, Rasheda and Taylor, Brad R.. 2022. "The impact of penalty and subsidy mechanisms on the decisions of the government, businesses, and consumers during COVID-19 — Tripartite evolutionary game theory analysis." Operations Research Perspectives. 9, pp. 1-16. https://doi.org/10.1016/j.orp.2022.100255

Article

Complex Dynamics of Solitons in Rotating Fluids
Ostrovsky, Lev A. and Stepanyants, Yury A.. 2022. "Complex Dynamics of Solitons in Rotating Fluids." Volchenkov, Dimitri and Machado, J. A. Tenreiro (ed.) Mathematical Methods in Modern Complexity Science. Switzerland. Springer. pp. 63-78

Edited book (chapter)

Modulation Instability of Hydro-Elastic Waves Blown by a Wind with a Uniform Vertical Profile
Boral, Susam, Sahoo, Trilochan and Stepanyants, Yury. 2021. "Modulation Instability of Hydro-Elastic Waves Blown by a Wind with a Uniform Vertical Profile." Fluids. 6 (12), pp. 1-18. https://doi.org/10.3390/fluids6120458

Article

Dynamics of internal envelope solitons in a rotating fluid of a variable depth
Stepanyants, Yury. 2019. "Dynamics of internal envelope solitons in a rotating fluid of a variable depth." Fluids. 4 (1), pp. 1-12. https://doi.org/10.3390/fluids4010056

Article

Modulation property of flexural-gravity waves on a water surface covered by a compressed ice sheet
Slunyaev, A. V. and Stepanyants, Y. A.. 2022. "Modulation property of flexural-gravity waves on a water surface covered by a compressed ice sheet." Physics of Fluids. 34, pp. 1-17. https://doi.org/10.1063/5.0100179

Article

Lump Interactions with Plane Solitons
Stepanyants, Yu. A., Zakharov, D. V. and Zakharov, V. E.. 2022. "Lump Interactions with Plane Solitons." Radiophysics and Quantum Electronics. 64 (10), pp. 665-680. https://doi.org/10.1007/s11141-022-10169-0

Article

Neutrosophic Recommender System for Medical Diagnosis Based on Algebraic Similarity Measure and Clustering
Thanh, Nguyen Dang, Son, Le Hoang and Ali, Mumtaz. 2017. "Neutrosophic Recommender System for Medical Diagnosis Based on Algebraic Similarity Measure and Clustering." 2017 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). Naples, Italy 09 - 12 Jul 2017 Piscataway, United States. https://doi.org/10.1109/FUZZ-IEEE.2017.8015387

Paper

Limit state analysis of reinforced concrete slabs using an integrated radial basis function based mesh-free method
Ho, Phuc L. H., Le, Canh V. and Tran-Cong, T.. 2018. "Limit state analysis of reinforced concrete slabs using an integrated radial basis function based mesh-free method." Applied Mathematical Modelling: simulation and computation for engineering and environmental systems. 53, pp. 1-11. https://doi.org/10.1016/j.apm.2017.08.006

Article

Symmetric interactions of plane solitons in two-dimensional nonlinear lattices
Nikitenkova, Svetlana and Stepanyants, Yury. 2022. "Symmetric interactions of plane solitons in two-dimensional nonlinear lattices." Communications in Nonlinear Science and Numerical Simulation. 114, pp. 1-10. https://doi.org/10.1016/j.cnsns.2022.106602

Article

Degenerate lump interactions within the Kadomtsev-Petviashvili equation
Zhang, Zhao, Li, Biao, Chen, Junchao, Guo, Qi and Stepanyants, Yury. 2022. "Degenerate lump interactions within the Kadomtsev-Petviashvili equation." Communications in Nonlinear Science and Numerical Simulation. 112, pp. 1-14. https://doi.org/10.1016/j.cnsns.2022.106555

Article

Elastic scattering based on integral equation theory for potentials including the Coulomb potential
Jayasinghe, W. J. M. L. P.. 2015. "Elastic scattering based on integral equation theory for potentials including the Coulomb potential." 7th Applied Science, Business & Industrial Research Symposium (ASBIRES 2015). Sri Lanka 05 Aug 2015 Sri Lanka.

Paper

Reflectionless wave propagation on shallow water with variable bathymetry and current. Part 2
Churilov, Semyon M. and Stepanyants, Yury A.. 2022. "Reflectionless wave propagation on shallow water with variable bathymetry and current. Part 2." Journal of Fluid Mechanics. 939, pp. 1-12. https://doi.org/10.1017/jfm.2022.208

Article

Multiscale simulation of coupled length-scales via meshless method and molecular dynamics
Wang, Q. X., Ng, T. Y., Li, Hua and Lam, K. Y.. 2009. "Multiscale simulation of coupled length-scales via meshless method and molecular dynamics." Mechanics of Advanced Materials and Structures. 16 (1), pp. 1-11. https://doi.org/10.1080/15376490802540242

Article

A new data-driven topology optimization framework for structural optimization
Zhou, Ying, Zhan, Haifei, Zhang, Weihong, Zhu, Jihong, Bai, Jinshuai, Wang, Qingxia and Gu, Yuantong. 2020. "A new data-driven topology optimization framework for structural optimization." Computers and Structures. 239, pp. 1-16. https://doi.org/10.1016/j.compstruc.2020.106310

Article

Reflectionless wave propagation on shallow water with variable bathymetry and current
Churilov, Semyon M. and Stepanyants, Yury A.. 2021. "Reflectionless wave propagation on shallow water with variable bathymetry and current." Journal of Fluid Mechanics. 931, pp. 1-25. https://doi.org/10.1017/jfm.2021.935

Article

An innovative clustering technique to generate hybrid modeling of cooling coils for energy analysis: A case study for control performance in HVAC systems
Homod, Raad Z., Togun, Hussein, Ateeq, Adnan A., Al-Mousawi, Fadhel Noraldeen, Yaseen, Zaher Mundher, Al-Kouz, Wael, Hussein, Ahmed Kadhim, Alawi, Omer A., Goodarzi, Marjan and Ahmadi, Goodarz. 2022. "An innovative clustering technique to generate hybrid modeling of cooling coils for energy analysis: A case study for control performance in HVAC systems." Renewable and Sustainable Energy Reviews. 166. https://doi.org/10.1016/j.rser.2022.112676

Article

Application of the ANOVA method in the optimization of a thermoelectric cooler-based dehumidification system
Eltaweel, Mahmoud, Heggy, Aya H., Yaseen, Zaher Mundher, Alawi, Omer A., Falah, Mayadah W., Hussein, Omar A., Ahmed, Waqar, Homod, Raad Z. and Abdelrazek, Ali H.. 2022. "Application of the ANOVA method in the optimization of a thermoelectric cooler-based dehumidification system." Energy Reports. 8, pp. 10533-10545. https://doi.org/10.1016/j.egyr.2022.08.193

Article

Prediction of Sea Level with Vertical Land Movement Correction Using Deep Learning
Raj, Nawin. 2022. "Prediction of Sea Level with Vertical Land Movement Correction Using Deep Learning." Mathematics. 10 (23). https://doi.org/10.3390/math10234533

Article

Bi-directional grid constrained stochastic processes and their applications in mathematical finance
Taranto, Aldo. 2022. Bi-directional grid constrained stochastic processes and their applications in mathematical finance. PhD Thesis Doctor of Philosophy. University of Southern Queensland. https://doi.org/10.26192/q7q62

PhD Thesis

Multifractal characterization and cross correlations of reference evapotranspiration time series of India
Adarsh, S., Nityanjaly, L. J., Pham, Quoc Bao, Sarang, R., Ali, Mumtaz and Nandhineekrishna, P.. 2021. "Multifractal characterization and cross correlations of reference evapotranspiration time series of India." European Physical Journal: Special Topics. 230 (21-22), pp. 3845-3859. https://doi.org/10.1140/epjs/s11734-021-00325-4

Article

Hydrodynamic models of astrophysical wormholes: the general concept
Churilov, Semyon and Stepanyants, Yury. 2021. "Hydrodynamic models of astrophysical wormholes: the general concept." Physics of Fluids. 33 (7), pp. 1-23. https://doi.org/10.1063/5.0056877

Article

Transformation of envelope solitons on a bottom step
Ducrozet, Guillaume, Slunyaev, Alexey and Stepanyants, Yury. 2021. "Transformation of envelope solitons on a bottom step." Physics of Fluids. 33. https://doi.org/10.1063/5.0054806

Article

Modulation instability of surface waves in the model with the uniform wind profile
Boral, Susam, Sahoo, Trilochan and Stepanyants, Yury. 2021. "Modulation instability of surface waves in the model with the uniform wind profile." Symmetry. 13. https://doi.org/10.3390/sym13040651

Article

Police operation centres: from a traditional to preventive policing model
Tayler, Simon. 2021. Police operation centres: from a traditional to preventive policing model. Masters Thesis Master of Professional Studies (Research). University of Southern Queensland. https://doi.org/10.26192/0FS2-WY16

Masters Thesis