Breather-type multi-solitary waves to the Kadomtsev-Petviashvili equation with positive dispersion

被引：11

作者：

Wang, Chuanjian ^{[1
]}

Dai, Zhengde ^{[2
]}

机构：

[1] Kunming Univ Sci & Technol, Dept Math, Kunming 650500, Yunnan, Peoples R China

[2] Yunnan Univ, Sch Math & Stat, Kunming 650091, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 235卷

基金：

中国国家自然科学基金;

关键词：

Kadomtsev-Petviashvili equation; Hirota bilinear method; Ansatz approach; Breather-wave; Fission; Fusion; CONSTRUCTION; POWER; KP;

D O I：

10.1016/j.amc.2014.03.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, KP equation with positive dispersion is studied. By virtue of Hirota bilinear method and generalized three-wave type of Ansatz approach we obtain the breather-type multi-solitary waves with fission and fusion behaviors of KP equation. Based on the structures of those (2 + 1)-dimensional solutions and show via computer simulation, the fission and fusion interactions characteristics of breather-type multi-solitary waves solutions are discussed which might provide us with the useful information on the dynamics of the relevant physical fields. (C) 2014 Published by Elsevier Inc.

引用

页码：332 / 337

页数：6

共 29 条

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