On the solitary waves, breather waves and rogue waves to a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation

被引：82

作者：

Wang, Xiu-Bin ^{[1
]}

Tian, Shou-Fu ^{[1
,2
]}

Yan, Hui ^{[1
]}

Zhang, Tian Tian ^{[1
]}

机构：

[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Peoples R China

[2] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2017年 / 74卷 / 03期

关键词：

A generalized (3+1)-dimensional Kadomtsev-Petviashvili equation; Solitary waves; Breather waves; Rogue waves; Bell's polynomials; (2+1)-DIMENSIONAL BOUSSINESQ EQUATION; NONLINEAR SCHRODINGER-EQUATION; RATIONAL CHARACTERISTICS; GEOMETRIC APPROACH; FLUID-DYNAMICS; LIE SYMMETRIES; ITO EQUATION; SYSTEMS; KP;

D O I：

10.1016/j.camwa.2017.04.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Under investigation in this work is a generalized (3 + 1)-dimensional KadomtsevPetviashvili (GKP) equation, which can describe many nonlinear phenomena in fluid dynamics. By virtue of the Bell's polynomials, an effective and straightforward way is presented to explicitly construct its bilinear form and soliton solution. Furthermore, based on the bilinear formalism and the extended homoclinic test method, the kinky breather wave solutions and rational breather wave solutions of the equation are well constructed. It is hoped that our results can be used to enrich the dynamical behavior of the (3 + 1) dimensional nonlinear wave fields. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：556 / 563

页数：8

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