(3+1)维广义Kadomtsev-Petviashvili方程新的精确周期孤立波解

Abstract

Abstract:

In this paper, we investigate the generalized Kadomtsev-Petviashvili equation for the evolution of nonlinear, long waves of small amplitude with slow dependence on the transverse coordinate. By virtue of the Hirota's bilinear form and the extended homoclinic test approach, new exact periodic solitary wave solutions for the (3+1)-dimensional generalized KadomtsevPetviashvili equation are obtained, which is different from those in previous literatures. With the aid of symbolic computation, the properties and characteristics for these new exact periodic wave solutions are presented with some figures.

Key words: Hirota's bilinear form, Periodic solitary wave solutions, Extended homoclinic test approach, Generalized Kadomtsev-Petviashvili equation

CLC Number:

O175.2

Ying Li,Jianguo Liu,Lianwu Yang. New Exact Periodic Solitary Wave Solutions for the (3+1)-Dimensional Generalized Kadomtsev-Petviashvili Equation[J].Acta mathematica scientia,Series A, 2019, 39(5): 1064-1076.

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Figures/Tables 7

References 52

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New Exact Periodic Solitary Wave Solutions for the (3+1)-Dimensional Generalized Kadomtsev-Petviashvili Equation

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