数学物理学报 ›› 2019, Vol. 39 ›› Issue (3): 501-509.

• 论文 • 上一篇    下一篇

广义的(3+1)维Kadomtsev-Petviashvili方程的动力分析及其行波解

张雪1,2(),孙峪怀1,*()   

  1. 1 四川师范大学数学科学学院 成都 610066
    2 西南交通大学希望学院 成都 610400
  • 收稿日期:2017-01-25 出版日期:2019-06-26 发布日期:2019-06-27
  • 通讯作者: 孙峪怀 E-mail:1443773002@qq.com;sunyuhuai63@163.com
  • 作者简介:张雪, 1443773002@qq.com
  • 基金资助:
    国家自然科学基金(11371267);四川省教育厅自然科学重点基金(2012ZA135)

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 E-mail:1443773002@qq.com;sunyuhuai63@163.com
  • Supported by:
    Sponsored by the NSFC(11371267);the SCNSF(2012ZA135)

摘要:

运用拟设方法和动力系统分支方法,获得了广义(3+1)维Kadomtsev-Petviashvili方程的奇异孤子解及其行波解.

关键词: 广义的(3+1)维Kadomtsev-Petviashvili方程, 拟设方法, 分支方法, 分支相图, 行波解

Abstract:

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

中图分类号: 

  • O175.29