Rational solutions, and the interaction solutions to the (2 + 1)-dimensional time-dependent Date-Jimbo-Kashiwara-Miwa equation

In this work, the Date-Jimbo-Kashiwara-Miwa (DJKM) equation include time-dependent in -dimensions that characterize the propagation of nonlinear dispersive waves in inhomogeneous media is studied. We construct rational solutions and the interaction physical phenomena between rational solution and mu...

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Bibliographic Details
Published inInternational journal of computer mathematics Vol. 98; no. 12; pp. 2369 - 2377
Main Authors Ismael, Hajar F., Seadawy, Aly, Bulut, Hasan
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 02.12.2021
Taylor & Francis Ltd
Subjects
Computational solitions
Inhomogeneous media
interaction phenomena
lump solutions
Rational solutions
Solitary waves
Time dependence
time-dependent DJKM equation
Wave propagation
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Summary:In this work, the Date-Jimbo-Kashiwara-Miwa (DJKM) equation include time-dependent in -dimensions that characterize the propagation of nonlinear dispersive waves in inhomogeneous media is studied. We construct rational solutions and the interaction physical phenomena between rational solution and multi-soliton wave to the time-dependent DJKM equation. The multi-soliton solutions are revealed by using the Hirota simple method, and then via the long-wave method, the M-lump solutions for two types of time-dependent are derived. Moreover, the interaction phenomena between rational solution and single-, double-soliton solutions are studied.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0020-7160
1029-0265
DOI:10.1080/00207160.2021.1897112