Symbolic computation and new families of exact non-travelling wave solutions to (3 + 1)-dimensional Kadomstev–Petviashvili equation

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摘要

In this paper, the improved tanh function method in [F.D. Xie, Y. Zhang, Z.S. Lü, Chaos, Solitons & Fractals 24 (2005) 257] is further improved by constructing new ansatz solution of the considered equation. As its application, the (3 + 1)-dimensional Kadomstev–Petviashvili equation is considered and abundant new exact non-travelling wave solutions are obtained.

论文关键词:Non-travelling wave solutions,Improved tanh function method,Generalized Riccati equation

论文评审过程:Available online 28 February 2006.

论文官网地址:https://doi.org/10.1016/j.amc.2006.01.033