Chinese Quarterly Journal of Mathematics ›› 2005, Vol. 20 ›› Issue (1): 72-78.

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Periodic Wave Solutions for Konopelchenko-Dubrovsky Equation

  

  1. Periodic WDepartment of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471003, China; Department of Mathematics, Lanzhou University, Lanzhou 730000, China; Department of Finance, Shanghai TV University, Shanghai 200092, China
  • Received:2003-03-18 Online:2005-03-30 Published:2024-02-27
  • About author:ZHANG Jin-liang(1966-),male,native of Nanyang,Nenan,an associate professor Henan Uni- versity of Science and Technology,engages in nonlinear mathematical physics.
  • Supported by:
     Supported by the Natural Science Foundation of Education Committee of Henan Province(2003110003) Supported by the Natural Science Foundation of Henan Province(0111050200);

Abstract: By using F-expansion method proposed recently, we derive the periodic wave solution expressed by Jacobi elliptic functions for Konopelchenko-Dubrovsky equation. In the limit case, the solitary wave solution and other type of the traveling wave solutions are derived.

Key words: Konopelchenko-Dubrovsky equation, F-expansion method, Jacobi elliptic func- tions, periodic wave solution, solitary wave solution

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