Variety interaction solutions comprising lump solitons for the (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation

This paper deals with localized waves in the (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada (CDGKS) equation in the incompressible fluid. Based on Hirota's bilinear method, N-soliton solutions related to CDGKS equation are constructed. Taking the special reduction, the exact expression of...

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 5; pp. 5370 - 5386
Main Authors Zhuang, Jianhong, Liu, Yaqing, Zhuang, Ping
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
bilinear operator
interaction
long wave limit
lump soliton
periodic soliton
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Summary:This paper deals with localized waves in the (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada (CDGKS) equation in the incompressible fluid. Based on Hirota's bilinear method, N-soliton solutions related to CDGKS equation are constructed. Taking the special reduction, the exact expression of multiple localized wave solutions comprising lump soliton(s) are obtained by using the long wave limit method. A variety of interactions are illustrated analytically and graphically. The influence of parameters on propagation is analyzed and summarized. The results and phenomena obtained in this paper enrich the dynamic behavior of the evolution of nonlinear localized waves.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021316