Nonautonomous characteristics of lump solutions for a (2+1)-dimensional Korteweg-de Vries equation with variable coefficients

被引：23

作者：

Chen, Fei-Peng ^{[1
,2
]}

Chen, Wei-Qin ^{[1
,2
]}

Wang, Lei ^{[1
]}

Ye, Zhen-Jun ^{[1
]}

机构：

[1] North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China

[2] North China Elect Power Univ, Sch Energy Power & Mech Engn, Beijing 102206, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2019年 / 96卷

基金：

中国国家自然科学基金;

关键词：

Nonautonomous lump solutions; (2+1)-dimensional kdV equation with variable coefficients; Velocity; Trajectory; Periodic attraction and repulsion interaction; SUPERREGULAR BREATHERS; KINK SOLUTIONS; SOLITONS; TRANSFORMATION; WAVE;

D O I：

10.1016/j.aml.2019.04.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a (2 + 1)-dimensional Korteweg de Vries (KdV) equation with variable coefficients. By virtue of Hirota method, we present three types of nonautonomous lump solutions including the bright, bright-dark and dark lump ones. By considering different types of dispersion coefficients, we investigate the characteristics of trajectories, velocities and displacements of nonautonomous bright lump wave, which are different from the case of its constant-coefficient counterpart. We finally demonstrate the periodic attraction and repulsion interaction between a lump wave and a soliton. Our results might provide some physical insights into the relevant fields in nonlinear science. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：33 / 39

页数：7

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