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

doi:10.1088/1674-1056/ac1f08

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.

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

Received: 11 July 2021
Revised: 13 August 2021
Accepted manuscript online: 19 August 2021

PACS:	02.30.Ik	(Integrable systems)
	05.45.Yv	(Solitons)
	04.20.Jb	(Exact solutions)

Fund: This work was supported by the National Natural Science Foundation of China (Grant Nos. 11835011 and 12074343).

Corresponding Authors: Ji Lin
E-mail: linji@zjnu.edu.cn

Cite this article:

Jian-Wen Wu(吴剑文), Yue-Jin Cai(蔡跃进), and Ji Lin(林机) Residual symmetries, consistent-Riccati-expansion integrability, and interaction solutions of a new (3+1)-dimensional generalized Kadomtsev—Petviashvili equation 2022 Chin. Phys. B 31 030201

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

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