Lump and interaction solutions to the (2+1)-dimensional Burgers equation

被引：116

作者：

Wang, Hui ^{[1
,2
]}

机构：

[1] Shanghai Maritime Univ, Coll Art & Sci, Shanghai 201306, Peoples R China

[2] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2018年 / 85卷

基金：

中国国家自然科学基金;

关键词：

Lump solution; Rogue solution; Interaction solutions; (2+1)-dimensional Burgers equation; ROSSBY SOLITARY WAVES; ROGUE WAVE; RATIONAL SOLUTIONS; CRE SOLVABILITY; KINK SOLUTIONS; SEPARATION; SOLITONS; FISSION; WELL;

D O I：

10.1016/j.aml.2018.05.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on the Hirota bilinear method, the lump solution of a (2 + 1)-dimensional Burgers equations is presented through symbolic computation with Maple, which is rationally localized in all directions in the space. Then the interaction solution between lump solution and one stripe solution is obtained and the result shows that the lump soliton will be drowned or swallowed by the stripe soliton, which can also be called the fission or fusion phenomenon. Furthermore, by the interaction between lump solution and a pair of resonance stripe solitons, a rogue wave phenomenon is revealed. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：27 / 34

页数：8

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