Rogue waves, homoclinic breather waves and soliton waves for the (2+1)-dimensional B-type Kadomtsev-Petviashvili equation

被引：106

作者：

Feng, Lian-Li ^{[1
,2
]}

Tian, Shou-Fu ^{[1
,2
,3
]}

Wang, Xiu-Bin ^{[1
,2
]}

Zhang, Tian-Tian ^{[1
,2
]}

机构：

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

[2] China Univ Min & Technol, Ctr Nonlinear Equat, Xuzhou 221116, Peoples R China

[3] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England

来源：

APPLIED MATHEMATICS LETTERS | 2017年 / 65卷

关键词：

The (2+1)-dimensional BKP equation; Bell polynomial; Bilinear formalism; Rogue waves; Homoclinic breather waves; INTEGRABILITY; SCHRODINGER; SYMMETRIES; SYSTEM;

D O I：

10.1016/j.aml.2016.10.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the (2 1)-dimensional B-type Kadomtsev-Petviashvili (BKP) equation is investigated, which can be used to describe the stability of soliton in a nonlinear media with weak dispersion. With the aid of the binary Bell polynomial, its bilinear formalism is succinctly constructed, based on which, the soliton wave solution is also obtained. Furthermore, by means of homoclinic breather limit method, its rogue waves and homoclinic breather waves are derived, respectively. Our results show that rogue wave can come from the extreme behavior of the breather solitary wave for (2 + 1)-dimensional nonlinear wave fields. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：90 / 97

页数：8

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