Lie symmetry analysis and invariant solutions for the (3+1)-dimensional Virasoro integrable model

doi:10.1088/1674-1056/ac9de6

Abstract Lie symmetry analysis is applied to a (3+1)-dimensional Virasoro integrable model and the corresponding similarity reduction equations are obtained with the different infinitesimal generators. Invariant solutions with arbitrary functions for the (3+1)-dimensional Virasoro integrable model, including the interaction solution between a kink and a soliton, the lump-type solution and periodic solutions, have been studied analytically and graphically.

Keywords: (3+1)-dimensional Virasoro integrable model Lie symmetry invariant solutions

Received: 18 September 2022
Revised: 13 October 2022
Accepted manuscript online: 27 October 2022

PACS:	05.45.Yv	(Solitons)
	02.30.Ik	(Integrable systems)

Corresponding Authors: Hengchun Hu
E-mail: hhengchun@163.com

Cite this article:

Hengchun Hu(胡恒春) and Yaqi Li(李雅琦) Lie symmetry analysis and invariant solutions for the (3+1)-dimensional Virasoro integrable model 2023 Chin. Phys. B 32 040503

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Lie symmetry analysis and invariant solutions for the (3+1)-dimensional Virasoro integrable model

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