Yan Yang, Yinping Liu, “Multiwave interaction solutions for a new extended equation in <nobr>$(4+1)$</nobr>-dimension”, Zh. Vychisl. Mat. Mat. Fiz., 2023, Volume 63, Number 5,Page 764

Partial Differential Equations

Multiwave interaction solutions for a new extended equation in $(4+1)$-dimension

Yan Yang^a, Yinping Liu^ab

^a East China Normal University (ECNU), School of Mathematical Sciences, Shanghai, China
^b Shanghai Key Laboratory of PMMP, Shanghai, China

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.

Key words: integrable equation, interaction solution, $N$-soliton decomposition algorithm, inheritance solving technique.

Received: 20.12.2022
Revised: 20.12.2022
Accepted: 02.02.2023

Language: English

DOI: 10.31857/S0044466923050228