Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (2): 213-219.

• Articles • Previous Articles     Next Articles

The Periodic Wave Solutions for the Davey StewartsonⅠ

 ZHANG Jin-Liang, LIN Dong-Feng, WANG Meng-Liang, FANG Zong-De   

  • Online:2005-04-25 Published:2005-04-25
  • Supported by:

    河南省自然科学基金(0111050200)、河南省教委自然科学基金(2000110008)和河南科技大学科研基金

Abstract:

By using the F expansion method recently proposed, the exact solutions (inc ludi ng periodic wave solutions expressed by Jacobi elliptic functions) for the Davey Stewartson Ⅰ equation are derived. In the limit cases, the solitary wave solu tions and some type of traveling wave solutions for the system are obtained.

Key words: Davey Stewartson Ⅰ equation,F expansion method,Periodic wave solution,Jacobi elliptic function, Solitary wave solution

CLC Number: 

  • 35Q20
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