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.
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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