A new note on exact complex travelling wave solutions for (2+1)-dimensional B-type Kadomtsev–Petviashvili equation

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Exact solutions of the (2+1)-dimensional Kadomtsev–Petviashvili by Zhang [Huiqun Zhang, A note on exact complex travelling wave solutions for (2+1)-dimensional B-type Kadomtsev–Petviashvili equation, Appl. Math. Comput. 216 (2010) 2771–2777] are considered. To look for “new types of exact solutions travelling wave solutions” of equation Zhang has used the G′/G-expansion method. We demonstrate that there is the general solution for the reduction by Zhang from the (2+1)-dimensional Kadomtsev–Petviashvili equation and all solutions by Zhang are found as partial cases from the general solution.

论文关键词:Nonlinear evolution equations,Exact solutions,Kadomtsev–Petviashvili equation,Seven common errors

论文评审过程:Available online 1 July 2010.

论文官网地址:https://doi.org/10.1016/j.amc.2010.06.039