Solitons, Breathers, and Lump Solutions to the (2+1)-Dimensional Generalized Calogero-Bogoyavlenskii-Schiff Equation

被引：15
|
作者：
Ma, Hongcai [1 ,2 ]
Cheng, Qiaoxin [1 ]
Deng, Aiping [1 ,2 ]
机构：
[1] Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China
[2] Donghua Univ, Inst Nonlinear Sci, Shanghai 201620, Peoples R China
来源：
COMPLEXITY | 2021年 / 2021卷
基金：
中国国家自然科学基金;
关键词：
KADOMTSEV-PETVIASHVILI EQUATION; DE-VRIES EQUATION; TANH-COTH METHOD; ROGUE WAVE; SOLITARY WAVES; BACKLUND TRANSFORMATION; DARBOUX TRANSFORMATION; MULTISOLITON SOLUTIONS; LOCALIZED WAVES; KDV;
D O I：
10.1155/2021/7264345
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a generalized (2 + 1)-dimensional Calogero-Bogoyavlenskii-Schiff equation is considered. Based on the Hirota bilinear method, three kinds of exact solutions, soliton solution, breather solutions, and lump solutions, are obtained. Breathers can be obtained by choosing suitable parameters on the 2-soliton solution, and lump solutions are constructed via the long wave limit method. Figures are given out to reveal the dynamic characteristics on the presented solutions. Results obtained in this work may be conducive to understanding the propagation of localized waves.
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页数：10
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