Article
Travelling wave solutions to the proximate equations for LWSW
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Abstract
By feat of Maple 17 and a subsidiary ordinary differential equation, a new extension algebraic method is chosen to construct the travelling wave solutions to the proximate equation set involving an arbitrary parameter for long waves over shallow-water. Multiple triangle periodic solutions and new Jacobi elliptic function solutions are obtained. This procedure is applicable to other nonlinear partial differential equations as well.
Keywords
auxiliary equation, algebraic method, travelling wave solutions
Citation
Yu, X. & Kong, S. (2021). Travelling wave solutions to the proximate equations for LWSW. Applied Mathematics and Nonlinear Sciences, 6(1). https://doi.org/10.2478/amns.2021.2.00008
X. Yu and S. Kong, “Travelling wave solutions to the proximate equations for LWSW,” Applied Mathematics and Nonlinear Sciences, vol. 6, no. 1, 2021, doi: 10.2478/amns.2021.2.00008.
Yu X, Kong S. Travelling wave solutions to the proximate equations for LWSW. Applied Mathematics and Nonlinear Sciences. 2021;6(1). doi:10.2478/amns.2021.2.00008.
Yu, X. and Kong, S. (2021), ‘Travelling wave solutions to the proximate equations for LWSW’, Applied Mathematics and Nonlinear Sciences, 6(1). Available at: https://doi.org/10.2478/amns.2021.2.00008.
Yu, Xiuqing, and Shuxia Kong. “Travelling Wave Solutions to the Proximate Equations for LWSW.” Applied Mathematics and Nonlinear Sciences, vol. 6, no. 1, 2021. https://doi.org/10.2478/amns.2021.2.00008.
Yu, Xiuqing, and Shuxia Kong. “Travelling Wave Solutions to the Proximate Equations for LWSW.” Applied Mathematics and Nonlinear Sciences 6, no. 1 (2021). https://doi.org/10.2478/amns.2021.2.00008.
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Published by: Engineering Journals
