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

Investigated in the current paper is the time-dependent Date–Jimbo–Kashiwara–Miwa equation in (2+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 th...

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Bibliographic Details
Published in:Applied mathematics letters 2020-05, Vol.103, p.106163, Article 106163
Main Authors: Kang, Zhou-Zheng, Xia, Tie-Cheng
Format: Article
Language:English
Subjects:
Breather-kink wave
Double-solitary wave
Homoclinic test method
Rogue wave
Time-dependent Date–Jimbo–Kashiwara–Miwa equation
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Summary:Investigated in the current paper is the time-dependent Date–Jimbo–Kashiwara–Miwa equation in (2+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.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2019.106163