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

被引：96

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

页码：34 / 38

页数：5

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