中国物理B ›› 2023, Vol. 32 ›› Issue (4): 40503-040503.doi: 10.1088/1674-1056/ac9de6

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

Hengchun Hu(胡恒春) and Yaqi Li(李雅琦)   

  1. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
  • 收稿日期:2022-09-18 修回日期:2022-10-13 接受日期:2022-10-27 出版日期:2023-03-10 发布日期:2023-03-23
  • 通讯作者: Hengchun Hu E-mail:hhengchun@163.com

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

Hengchun Hu(胡恒春) and Yaqi Li(李雅琦)   

  1. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
  • Received:2022-09-18 Revised:2022-10-13 Accepted:2022-10-27 Online:2023-03-10 Published:2023-03-23
  • Contact: Hengchun Hu E-mail:hhengchun@163.com

摘要: 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.

关键词: (3+1)-dimensional Virasoro integrable model, Lie symmetry, invariant solutions

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.

Key words: (3+1)-dimensional Virasoro integrable model, Lie symmetry, invariant solutions

中图分类号:  (Solitons)

  • 05.45.Yv
02.30.Ik (Integrable systems)