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.
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页码：332 / 337
页数：6
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