Rogue waves, bright-dark solitons and traveling wave solutions of the (3+1)-dimensional generalized Kadomtsev-Petviashvili equation

被引：87

作者：

Qin, Chun-Yan ^{[1
]}

Tian, Shou-Fu ^{[1
]}

Wang, Xiu-Bin ^{[1
]}

Zhang, Tian-Tian ^{[1
]}

Li, Jin ^{[2
]}

机构：

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

[2] Univ Cambridge, Dept Engn, 9 JJ Thomson Ave, Cambridge CB3 0FA, England

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2018年 / 75卷 / 12期

关键词：

The (3+1)-dimensional generalized Kadomtsev-Petviashvili equation; Breather wave solution; Rogue wave solution; Bright soliton solution; Dark soliton solution; Exact solution; (2+1)-DIMENSIONAL ITO EQUATION; NONLINEAR SCHRODINGER-EQUATION; INFINITE CONSERVATION-LAWS; HOMOCLINIC BREATHER WAVES; QUASI-PERIODIC WAVES; SOLITARY WAVES; RATIONAL CHARACTERISTICS; BACKLUND TRANSFORMATION; SYMBOLIC COMPUTATION; OPTICAL SOLITONS;

D O I：

10.1016/j.camwa.2018.03.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a (3 + 1)-dimensional generalized Kadomtsev-Petviashvili (gKP) equation is investigated, which describes the dynamics of nonlinear waves in plasma physics and fluid dynamics. By employing the extended homoclinic test method, we construct a new family of two wave solutions, rational breather wave and rogue wave solutions of the equation. Moreover, by virtue of some ansatz functions and the Riccati equation method, its analytical bright soliton, dark soliton and traveling wave solutions are derived. Finally, we obtain its exact power series solution with the convergence analysis. In order to further understand the dynamics, we provide some graphical analysis of these solutions. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：4221 / 4231

页数：11

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