Construction of abundant solutions of the (2+1)-dimensional time-dependent Date-Jimbo-Kashiwara-Miwa equation

被引：30
|
作者：
Kang, Zhou-Zheng [1 ,2 ]
Xia, Tie-Cheng [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Inner Mongolia Univ Nationalities, Coll Math, Tongliao 028043, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2020年 / 103卷
基金：
中国国家自然科学基金;
关键词：
Time-dependent; Date-Jimbo-Kashiwara-Miwa equation; Homoclinic test method; Breather-kink wave; Double-solitary wave; Rogue wave; MULTIPLE-SOLITON SOLUTIONS; GROSS-PITAEVSKII EQUATION; ROGUE WAVES; DARBOUX TRANSFORMATIONS; SCHRODINGER-EQUATION; BILINEAR METHOD; BREATHER WAVES; SYMMETRIES; DYNAMICS;
D O I：
10.1016/j.aml.2019.106163
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Investigated in the current paper is the time-dependent Date-Jimbo-Kashiwara-Miwa equation in (24-1)-dimensions which works as a model for describing the propagation of nonlinear dispersive waves in inhomogeneous media. By implementing the homoclinic test method, the breather-kink wave solution to the considered equation is first generated. Then, based on the resulting solution and a parameter transformation, the double-solitary wave solution is obtained. Finally, the rogue wave emerges by taking a limit behavior. Meanwhile, some graphs are made to shed light on the structural characteristics. (C) 2019 Published by Elsevier Ltd.
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页数：7
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