Rogue wave for the (2+1)-dimensional Kadomtsev-Petviashvili equation

被引：97
作者：
Xu, Zhenhui [1 ]
Chen, Hanlin [2 ]
Dai, Zhengde [3 ]
机构：
[1] Southwest Univ Sci & Technol, Appl Technol Coll, Mianyang 621010, Peoples R China
[2] Southwest Univ Sci & Technol, Sch Sci, Mianyang 621010, Peoples R China
[3] Yunnan Univ, Sch Math & Phys, Kunming 650091, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2014年 / 37卷
基金：
中国国家自然科学基金;
关键词：
Kadomtsev-Petviashvili equation; Homoclinic breather limit; Rational breather wave; Rogue wave; SCHRODINGER-EQUATIONS;
D O I：
10.1016/j.aml.2014.05.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, a new method, homoclinic (heteroclinic) breather limit method (HBLM), for seeking rogue wave solution to nonlinear evolution equation (NEE) is proposed. (2 + 1)-dimensional Kadomtsev-Petviashvili equation is used as an example to illustrate the effectiveness of the suggested method. A new family of two-wave solution, rational breather wave solution, is obtained by extended homoclinic test method, and it is just a rogue wave solution. This result shows rogue wave can come from extreme behavior of breather solitary wave for (2 + 1)-dimensional nonlinear wave fields. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：34 / 38
页数：5
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