数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (3): 1149-1156.doi: 10.1016/S0252-9602(12)60087-3

• 论文 • 上一篇    下一篇

EXISTENCE OF SOLITARY WAVES TO A GENERALIZED KADOMTSEV-PETVIASHVILI EQUATION

梁占平|苏加宝   

  1. 1.School of Mathematical Sciences, Shanxi University, Taiyuan 030006, China; 2.School of Mathematical Sciences, Capital Normal University, Beijing 100048, China
  • 收稿日期:2010-09-28 修回日期:2011-03-09 出版日期:2012-05-20 发布日期:2012-05-20
  • 基金资助:

    Z. Liang was supported by NSFC (11071149) and SNSF (2010011001-1); J. Su was supported by NSFC11171204, NSFC10831005, KZ201010028027, and PHR201106118.

EXISTENCE OF SOLITARY WAVES TO A GENERALIZED KADOMTSEV-PETVIASHVILI EQUATION

 LIANG Zhan-Ping, SU Jia-Bao   

  1. 1.School of Mathematical Sciences, Shanxi University, Taiyuan 030006, China; 2.School of Mathematical Sciences, Capital Normal University, Beijing 100048, China
  • Received:2010-09-28 Revised:2011-03-09 Online:2012-05-20 Published:2012-05-20
  • Supported by:

    Z. Liang was supported by NSFC (11071149) and SNSF (2010011001-1); J. Su was supported by NSFC11171204, NSFC10831005, KZ201010028027, and PHR201106118.

摘要:

In this article, we study the existence of nontrivial solitary waves of a gener-alized Kadomtsev-Petviashvili equation via variational methods.

关键词: Generalized Kadomtsev-Petviashvili equation, solitary waves, mountain pass theorem

Abstract:

In this article, we study the existence of nontrivial solitary waves of a gener-alized Kadomtsev-Petviashvili equation via variational methods.

Key words: Generalized Kadomtsev-Petviashvili equation, solitary waves, mountain pass theorem

中图分类号: 

  • 35Q99