Acta mathematica scientia,Series A ›› 2019, Vol. 39 ›› Issue (3): 501-509.

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Dynamical Analysis and Traveling Wave Solutions for Generalized (3+1)-Dimensional Kadomtsev-Petviashvili Equation

Xue Zhang1,2(),Yuhuai Sun1,*()   

  1. 1 College of Mathematics Science, Sichuan Normal University, Chengdu 610066
    2 Southwest Jiaotong University Hope College, Chengdu 610400
  • Received:2017-01-25 Online:2019-06-26 Published:2019-06-27
  • Contact: Yuhuai Sun;
  • Supported by:
    Sponsored by the NSFC(11371267);the SCNSF(2012ZA135)


Dynamical analysis and explicit solutions for generalized (3+1)-dimension Kadomtsev-Petviashvili equation have been carried out. The singular solution is obtained by the ansatz method, the bifurcation phase portraits and corresponding explicit solution are also constructed by the approach of dynamical analysis.

Key words: Generalized (3+1)-dimension Kadomtsev-Petviashvili equation, Ansatz method, Bifurcation analysis, Phase portraits, Traveling wave solutions

CLC Number: 

  • O175.29