Dynamics of multi-solitons, multi-lumps and hybrid solutions in (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equation

Chen Zhu, Chun Xiao Long, Yi Ting Zhou, Peng Fei Wei, Bo Ren, Wan Li Wang

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

The (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani (KdVSKR) equation is proposed by extending one dimension of the (1+1)-dimensional KdVSKR equation. The bilinear form of the (2+1)-dimensional KdVSKR equation is obtained by the independent transformation. The multi-solitons are obtained by solving the Hirota bilinear form of the (2+1)-dimensional KdVSKR equation. By using the long wave limit method, the multi-order lumps, interaction between lump and solitons are derived. The paths of lump wave can be given by calculating the critical points of the lump wave. The dynamics of these solutions are shown both in numerical simulations and graphs ways.

Original languageEnglish
Article number105248
JournalResults in Physics
Volume34
DOIs
StatePublished - Mar 2022
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2022

Funding

This work is supported by the National Natural Science Foundation of China Nos. 11775146 , 12105243 and 11474223 , and the Natural Science Foundation of Zhejiang Province of China Grant No. LQ22A050002 .

FundersFunder number
National Natural Science Foundation of China11474223, 12105243, 11775146
Natural Science Foundation of Zhejiang ProvinceLQ22A050002

    Keywords

    • (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equation
    • Hirota bilinear method
    • Long wave limit
    • Lump

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