JAMP  Vol.8 No.9 , September 2020
Some New Nonlinear Wave Solutions for a Higher-Dimensional Shallow Water Wave Equation
Abstract: In this manuscript, we first perform a complete Lie symmetry classification for a higher-dimensional shallow water wave equation and then construct the corresponding reduced equations with the obtained Lie symmetries. Moreover, with the extended F-expansion method, we obtain several new nonlinear wave solutions involving differentiable arbitrary functions, expressed by Jacobi elliptic function, Weierstrass elliptic function, hyperbolic function and trigonometric function.
Cite this paper: Dong, L. , Guo, Z. and He, Y. (2020) Some New Nonlinear Wave Solutions for a Higher-Dimensional Shallow Water Wave Equation. Journal of Applied Mathematics and Physics, 8, 1845-1860. doi: 10.4236/jamp.2020.89139.

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