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Wazwaz, A.M. (2009) Multiple-Soliton Solutions and Multiple-Singular Soliton Solutions for Two Higher-Dimensional Shallow Water Wave Equations. Applied Mathematics and Computation, 211, 495-501.
https://doi.org/10.1016/j.amc.2009.01.071

has been cited by the following article:

• 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.