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Chen, Y. and Yan, Z. (2005) New Exact Solutions of (2 + 1)-Dimensional Gardner Equation via the New Sine-Gordon Equation Expansion Method. Chaos, Solitons & Fractals, 26, 399-406.
https://doi.org/10.1016/j.chaos.2005.01.004

has been cited by the following article:

• TITLE: Exact Solutions of Gardner Equations through tanh-coth Method

  AUTHORS: Lin Lin, Shiyong Zhu, Yinkang Xu, Yubing Shi

  KEYWORDS: tanh-coth Method, Gardner Equations, Soliton Solutions

  JOURNAL NAME: Applied Mathematics, Vol.7 No.18, December 22, 2016

  ABSTRACT: In this paper, we apply the tanh-coth method and traveling wave transformation method for solving Gardner equations, including (1 + 1)-Gardner and (2 + 1)- Gardner equations. The tanh-coth method proved to be reliable and effective in handling a large number of nonlinear dispersive and disperse equations. Through tanh-coth method, we get analytical expressions of soliton solutions of Gardner equations. The one-soliton solution is characterized by an infinite wing or infinite tail.