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

Jianhong Zhuang; Yaqing Liu; Ping Zhuang; Jianhong Zhuang; Yaqing Liu; Ping Zhuang

doi:10.3934/math.2021316

AIMS Mathematics

2021, Volume 6, Issue 5: 5370-5386. doi: 10.3934/math.2021316

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Research article

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

1.
School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, China
2.
Liaoning Institute of Science and Technology, Benxi 117000, China

Received: 05 January 2021 Accepted: 03 March 2021 Published: 12 March 2021
MSC : 35Q51, 37K40

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.
- bilinear operator,
- long wave limit,
- lump soliton,
- periodic soliton,
- interaction
Citation: Jianhong Zhuang, Yaqing Liu, Ping Zhuang. Variety interaction solutions comprising lump solitons for the (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation[J]. AIMS Mathematics, 2021, 6(5): 5370-5386. doi: 10.3934/math.2021316

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Abstract

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.

References

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