49. Mathematical Sciences


Title49. Mathematical Sciences
ParentANZSRC Field of Research

Latest research outputs

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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

Smoothed particle hydrodynamics simulations of microstructure induced stress overshoot in structured fluids
Le-Cao, K., Tran-Duc, T., Mai-Duy, N., Quoc Nguyen, Y., Khoo, B. C. and Phan-Thien, N.. 2023. "Smoothed particle hydrodynamics simulations of microstructure induced stress overshoot in structured fluids." Physics of Fluids. 35 (12). https://doi.org/10.1063/5.0179269

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

Numerical study of electrohydrodynamic atomization considering liquid wetting and corona discharge effects
Mai, Luan Ngoc, Vu, Trung-Hieu, Dinh, Thien Xuan, Vu, Hoai Duc, Tran, Canh-Dung, Dau, Van Thanh and Ngo, Hieu Khanh. 2023. "Numerical study of electrohydrodynamic atomization considering liquid wetting and corona discharge effects." Physics of Fluids. 35 (6). https://doi.org/10.1063/5.0151085

Article

Spatial modelling of agro-ecologically significant grassland species using the INLA-SPDE approach
Fichera, Andrew, King, Rachel, Kath, Jarrod, Cobon, David and Reardon-Smith, Kathryn. 2023. "Spatial modelling of agro-ecologically significant grassland species using the INLA-SPDE approach." Scientific Reports. 13. https://doi.org/10.1038/s41598-023-32077-7

Article

A high-order embedded-boundary method based on smooth extension and RBFs for solving elliptic equations in multiply connected domains
Mai-Duy, N. and Gu, Y. T.. 2023. "A high-order embedded-boundary method based on smooth extension and RBFs for solving elliptic equations in multiply connected domains." Engineering Analysis with Boundary Elements. 154, pp. 223-237. https://doi.org/10.1016/j.enganabound.2023.05.038

Article

Sensory methods and machine learning based damage identification of fibre-reinforced composite structures: An introductory review
Bandara, Senaka, Herath, Madhubhashitha and Epaarachchi, Jayantha. 2023. "Sensory methods and machine learning based damage identification of fibre-reinforced composite structures: An introductory review." Journal of Reinforced Plastics and Composites. 42 (21-22), pp. 1119-1146. https://doi.org/10.1177/07316844221145972

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

Numerical analysis of light transmission in dual-core waveguides
McKeiver, Joshua. 2023. Numerical analysis of light transmission in dual-core waveguides. Masters Thesis Master of Science. University of Southern Queensland. https://doi.org/10.26192/yyw1v

Masters Thesis

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

Rules-Based and SVM-Q Methods With Multitapers and Convolution for Sleep EEG Stages Classification
Zapata, Ignacio A., Li, Yan and Wen, Peng. 2022. "Rules-Based and SVM-Q Methods With Multitapers and Convolution for Sleep EEG Stages Classification." IEEE Access. 10, pp. 71299-71310. https://doi.org/10.1109/ACCESS.2022.3188286

Article

A new high-order nine-point stencil, based on integrated-RBF approximations, for the first biharmonic equation
Mai-Duy, N., Strunin, D. and Karunasena, W.. 2022. "A new high-order nine-point stencil, based on integrated-RBF approximations, for the first biharmonic equation." Engineering Analysis with Boundary Elements. 143, pp. 687-699. https://doi.org/10.1016/j.enganabound.2022.07.014

Article

Fast estimation and choice of confidence interval methods for step regression
Hua, Shuangcheng, Fong, Youyi and Kath, Jarrod. 2022. "Fast estimation and choice of confidence interval methods for step regression." Environmental and Ecological Statistics. 29 (4), pp. 779-799. https://doi.org/10.1007/s10651-022-00547-2

Article

Student Performance Predictions for Advanced Engineering Mathematics Course With New Multivariate Copula Models
Nguyen-Huy, Thong, Deo, Ravinesh C., Khan, Shahjahan, Devi, Aruna, Adeyinka, Adewuyi Ayodele, Apan, Armando A. and Yaseen, Zaher Mundher. 2022. "Student Performance Predictions for Advanced Engineering Mathematics Course With New Multivariate Copula Models." IEEE Access. 10, pp. 45112 -45136. https://doi.org/10.1109/ACCESS.2022.3168322

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)

Results and Conclusions of “Five-Year Weight Loss Outcomes in Laparoscopic Vertical Sleeve Gastrectomy (LVSG) Versus Laparoscopic Roux-en-Y Gastric Bypass (LRYGB) Procedures: A Systematic Review and Meta-analysis of Randomized Controlled Trials” Unchanged by Omission of Retracted Ruiz-Tovar et al Article
Osland, Emma J., Yunus, Rossita M., Khan, Shahjahan and Memon, Muhammed A.. 2022. "Results and Conclusions of “Five-Year Weight Loss Outcomes in Laparoscopic Vertical Sleeve Gastrectomy (LVSG) Versus Laparoscopic Roux-en-Y Gastric Bypass (LRYGB) Procedures: A Systematic Review and Meta-analysis of Randomized Controlled Trials” Unchanged by Omission of Retracted Ruiz-Tovar et al Article." Surgical Laparoscopy, Endoscopy and Percutaneous Techniques. 32 (1). https://doi.org/10.1097/SLE.0000000000001017

Letter

Copula-based statistical modelling of synoptic-scale climate indices for quantifying and managing agricultural risks in Australia
Nguyen-Huy, Thong. 2020. "Copula-based statistical modelling of synoptic-scale climate indices for quantifying and managing agricultural risks in Australia." Bulletin of the Australian Mathematical Society. 101 (1), pp. 166-169. https://doi.org/10.1017/S0004972719001217

Article

Reliability estimation using an integrated support vector regression – variable neighborhood search model
Yazdani, Maziar, Babagolzadeh, Mahla, Kazemitash, Navid and Saberi, Morteza. 2019. "Reliability estimation using an integrated support vector regression – variable neighborhood search model." Journal of Industrial Information Integration. 15, pp. 103-110. https://doi.org/10.1016/j.jii.2019.03.001

Article

Correction: Ali, M., et al. Study on the Development of Neutrosophic Triplet Ring and Neutrosophic Triplet Field. Mathematics 2018, 6, 46
Ceven, Yılmaz and Smarandache, Florentin. 2019. "Correction: Ali, M., et al. Study on the Development of Neutrosophic Triplet Ring and Neutrosophic Triplet Field. Mathematics 2018, 6, 46." Mathematics. 7 (6), pp. 1-2. https://doi.org/10.3390/math7060565

Article

Study on the Development of Neutrosophic Triplet Ring and Neutrosophic Triplet Field
Ali, Mumtaz, Smarandache, Florentin and Khan, Mohsin. 2018. "Study on the Development of Neutrosophic Triplet Ring and Neutrosophic Triplet Field." Mathematics. 6, pp. 1-11. https://doi.org/10.3390/math6040046

Article

Closing Gaps in Geometrically Frustrated Symmetric Clusters: Local Equivalence between Discrete Curvature and Twist Transformations
Fang, Fang, Clawson, Richard and Irwin, Klee. 2018. "Closing Gaps in Geometrically Frustrated Symmetric Clusters: Local Equivalence between Discrete Curvature and Twist Transformations." Mathematics. 6, pp. 1-19. https://doi.org/10.3390/math6060089

Article

Periodic Modification of the Boerdijk–Coxeter Helix (tetrahelix)
Sadler, Garrett, Fang, Fang, Clawson, Richard and Irwin, Klee. 2019. "Periodic Modification of the Boerdijk–Coxeter Helix (tetrahelix)." Mathematics. 7 (10), pp. 1-18. https://doi.org/10.3390/math7101001

Article

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

Probability density functions of the DoB in tubular KT-joints of jacket-type platforms under out-of-plane bending loads
Ahmadi, Hamid, Zavvar, Esmaeil and Mayeli, Vahid. 2021. "Probability density functions of the DoB in tubular KT-joints of jacket-type platforms under out-of-plane bending loads." Journal of Civil and Environmental Engineering. https://doi.org/10.22034/JCEE.2021.40453.1949

Article

Derivation of the Probability Density Functions for the Local Joint Flexibility Factors in Axially Loaded Two-Planar Tubular DK-Joints of Offshore Structures
Ahmadi, Hamid and Mayeli, Vahid. 2023. "Derivation of the Probability Density Functions for the Local Joint Flexibility Factors in Axially Loaded Two-Planar Tubular DK-Joints of Offshore Structures." Journal of Civil and Environmental Engineering. 53.1 (110), pp. 161-174.

Article

A Probability Distribution Model for the Degree of Bending In Tubular KT-Joints of Offshore Jacket-Type Platforms Subjected To IPB Moment Loadings
Ahmadi, Hamid, Mayeli, Vahid and Zavvar, Esmaeil. 2019. "A Probability Distribution Model for the Degree of Bending In Tubular KT-Joints of Offshore Jacket-Type Platforms Subjected To IPB Moment Loadings." International Journal of Coastal and Offshore Engineering. 3 (2), pp. 11-29. https://doi.org/10.29252/IJCOE.3.2.11

Article