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

• Published in: Chinese physics B Vol. 31; no. 3; pp. 30201 - 161
• Main Authors: Wu, Jian-Wen, Cai, Yue-Jin, Lin, Ji
• Format: Journal Article
• Language: English
• Published: Chinese Physical Society and IOP Publishing Ltd 01.02.2022; Department of Physics,Zhejiang Normal University,Jinhua 321004,China
• Subjects: (3+1)-dimensional generalized Kadomtsev-Petviashvili equation; interaction solutions; residual symmetry; residual symmetry; interaction solutions; (3+1)-dimensional generalized Kadomtsev-Petviashvili equation
• ISSN: 1674-1056; 2058-3834
• DOI: 10.1088/1674-1056/ac1f08

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.