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

作　　者：Jian-Wen Wu Yue-Jin Cai Ji Lin 吴剑文;蔡跃进;林机(Department of Physics,Zhejiang Normal University,Jinhua 321004,China)

机构地区：[1]Department of Physics,Zhejiang Noimal University,Jinhua 321004,China

出　　处：《Chinese Physics B》2022年第3期140-145,共6页中国物理B（英文版）

基　　金：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 

分 类 号：O411[理学—理论物理]