Multiwave Interaction Solutions for a New Extended Equation in (4+1)-Dimension

Y. Yang; Y. P. Liu

doi:10.1134/S0965542523050184

Multiwave Interaction Solutions for a New Extended Equation in (4+1)-Dimension

Y. Yang^*
, Y. P. Liu^*

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

Research output: Contribution to journal › Article › peer-review

Abstract

Abstract: In this paper, we present a new (4+1)-dimensional nonlinear evolution equation. We first verify its Painlevé integrability by the WTC–Kruskal method, then multiwave interaction solutions for this new equation are investigated by different approaches. It can be seen that this equation has very rich interaction wave solutions.

Original language	English
Pages (from-to)	794-807
Number of pages	14
Journal	Computational Mathematics and Mathematical Physics
Volume	63
Issue number	5
DOIs	https://doi.org/10.1134/S0965542523050184
State	Published - May 2023

Keywords

N-soliton decomposition algorithm
inheritance solving technique
integrable equation
interaction solution

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Cite this

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title = "Multiwave Interaction Solutions for a New Extended Equation in (4+1)-Dimension",

abstract = "Abstract: In this paper, we present a new (4+1)-dimensional nonlinear evolution equation. We first verify its Painlev{\'e} integrability by the WTC–Kruskal method, then multiwave interaction solutions for this new equation are investigated by different approaches. It can be seen that this equation has very rich interaction wave solutions.",

keywords = "N-soliton decomposition algorithm, inheritance solving technique, integrable equation, interaction solution",

author = "Y. Yang and Liu, \{Y. P.\}",

note = "Publisher Copyright: {\textcopyright} 2023, Pleiades Publishing, Ltd.",

year = "2023",

month = may,

doi = "10.1134/S0965542523050184",

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AU - Yang, Y.

AU - Liu, Y. P.

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N2 - Abstract: In this paper, we present a new (4+1)-dimensional nonlinear evolution equation. We first verify its Painlevé integrability by the WTC–Kruskal method, then multiwave interaction solutions for this new equation are investigated by different approaches. It can be seen that this equation has very rich interaction wave solutions.

AB - Abstract: In this paper, we present a new (4+1)-dimensional nonlinear evolution equation. We first verify its Painlevé integrability by the WTC–Kruskal method, then multiwave interaction solutions for this new equation are investigated by different approaches. It can be seen that this equation has very rich interaction wave solutions.

KW - N-soliton decomposition algorithm

KW - inheritance solving technique

KW - integrable equation

KW - interaction solution

UR - https://www.scopus.com/pages/publications/85163381105

U2 - 10.1134/S0965542523050184

DO - 10.1134/S0965542523050184

M3 - 文章

AN - SCOPUS:85163381105

SN - 0965-5425

VL - 63

SP - 794

EP - 807

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

IS - 5

ER -

Multiwave Interaction Solutions for a New Extended Equation in (4+1)-Dimension

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Keywords

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