TITLE:
Some New Nonlinear Wave Solutions for a Higher-Dimensional Shallow Water Wave Equation
AUTHORS:
Longmin Dong, Zhu Guo, Yinghui He
KEYWORDS:
Shallow Water Wave Equations, Nonlinear Wave Solution, Lie Symmetry Analysis, Extended F-Expansion Method
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.8 No.9,
September
18,
2020
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.