Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (3): 1149-1156.doi: 10.1016/S0252-9602(12)60087-3

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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.

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

CLC Number: 

  • 35Q99
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