中国物理B ›› 2022, Vol. 31 ›› Issue (3): 30201-030201.doi: 10.1088/1674-1056/ac1f08

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Residual symmetries, consistent-Riccati-expansion integrability, and interaction solutions of a new (3+1)-dimensional generalized Kadomtsev—Petviashvili equation

Jian-Wen Wu(吴剑文), Yue-Jin Cai(蔡跃进), and Ji Lin(林机)   

  1. Department of Physics, Zhejiang Normal University, Jinhua 321004, China
  • 收稿日期:2021-07-11 修回日期:2021-08-13 接受日期:2021-08-19 出版日期:2022-02-22 发布日期:2022-02-14
  • 通讯作者: Ji Lin E-mail:linji@zjnu.edu.cn
  • 基金资助:
    This work was supported by the National Natural Science Foundation of China (Grant Nos. 11835011 and 12074343).

Residual symmetries, consistent-Riccati-expansion integrability, and interaction solutions of a new (3+1)-dimensional generalized Kadomtsev—Petviashvili equation

Jian-Wen Wu(吴剑文), Yue-Jin Cai(蔡跃进), and Ji Lin(林机)   

  1. Department of Physics, Zhejiang Normal University, Jinhua 321004, China
  • Received:2021-07-11 Revised:2021-08-13 Accepted:2021-08-19 Online:2022-02-22 Published:2022-02-14
  • Contact: Ji Lin E-mail:linji@zjnu.edu.cn
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (Grant Nos. 11835011 and 12074343).

摘要: With the aid of the Painlevé analysis, we obtain residual symmetries for a new (3+1)-dimensional generalized Kadomtsev—Petviashvili (gKP) equation. The residual symmetry is localized and the finite transformation is proposed by introducing suitable auxiliary variables. In addition, the interaction solutions of the (3+1)-dimensional gKP equation are constructed via the consistent Riccati expansion method. Particularly, some analytical soliton-cnoidal interaction solutions are discussed in graphical way.

关键词: residual symmetry, interaction solutions, (3+1)-dimensional generalized Kadomtsev—Petviashvili equation

Abstract: With the aid of the Painlevé analysis, we obtain residual symmetries for a new (3+1)-dimensional generalized Kadomtsev—Petviashvili (gKP) equation. The residual symmetry is localized and the finite transformation is proposed by introducing suitable auxiliary variables. In addition, the interaction solutions of the (3+1)-dimensional gKP equation are constructed via the consistent Riccati expansion method. Particularly, some analytical soliton-cnoidal interaction solutions are discussed in graphical way.

Key words: residual symmetry, interaction solutions, (3+1)-dimensional generalized Kadomtsev—Petviashvili equation

中图分类号:  (Integrable systems)

  • 02.30.Ik
05.45.Yv (Solitons) 04.20.Jb (Exact solutions)