Exact solutions of a generalized (3 + 1)-dimensional Kadomtsev–Petviashvili equation using Lie symmetry analysis

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摘要

In this paper, Lie group analysis is employed to derive some exact solutions of a generalized (3 + 1)-dimensional Kadomtsev–Petviashvili equation which describes the dynamics of solitons and nonlinear waves in plasmas and superfluids.

论文关键词:Lie group theory,Kadomtsev–Petviashvili equation,Lie point symmetries,Group invariant solutions

论文评审过程:Available online 8 April 2010.

论文官网地址:https://doi.org/10.1016/j.amc.2010.03.135