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.
作者
吴剑文
蔡跃进
林机
Jian-Wen Wu;Yue-Jin Cai;Ji Lin(Department of Physics,Zhejiang Noimal University,Jinhua 321004,China)
基金
supported by the National Natural Science Foundation of China (Grant Nos. 11835011 and 12074343)。