Dynamics of mixed lump-soliton for an extended (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov equation

Kai Zhong Shi, Shou Feng Shen, Bo Ren, Wan Li Wang

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

A new (2+1)-dimensional higher-order extended asymmetric Nizhnik-Novikov-Veselov (eANNV) equation is proposed by introducing the additional bilinear terms to the usual ANNV equation. Based on the independent transformation, the bilinear form of the eANNV equation is constructed. The lump wave is guaranteed by introducing a positive constant term in the quadratic function. Meanwhile, different class solutions of the eANNV equation are obtained by mixing the quadratic function with the exponential functions. For the interaction between the lump wave and one-soliton, the energy of the lump wave and one-soliton can transfer to each other at different times. The interaction between a lump and two-soliton can be obtained only by eliminating the sixth-order bilinear term. The dynamics of these solutions are illustrated by selecting the specific parameters in three-dimensional, contour and density plots.

Original languageEnglish
Article number035001
JournalCommunications in Theoretical Physics
Volume74
Issue number3
DOIs
StatePublished - 1 Mar 2022
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2022 Institute of Theoretical Physics CAS, Chinese Physical Society and IOP Publishing.

Funding

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

FundersFunder number
National Natural Science Foundation of China12105243, 11775146
Natural Science Foundation of Zhejiang ProvinceLQ22A050002

    Keywords

    • Extended ANNV equation
    • Hirota bilinear method
    • lump solution

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