Communications in Theoretical Physics

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Complex Tanh-Function Expansion Method and Exact Solutions to Two Systems of Nonlinear Wave Equations

ZHANG Jin-Liang1 and WANG Ming-Liang1,2   


  1. 1 Department of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471003, China
    2 Department of Mathematics, Lanzhou University, Lanzhou 730000, China
  • Received: 2003-12-17 Revised: 1900-01-01 Published: 2004-10-15

Abstract: The complex tanh-function expansion method was presented recently, and it can be applied to derive exact solutions to the Schrodinger-type nonlinear evolution equations directly without transformation. In this paper, the complex tanh-function expansion method is applied to derive the exact solutions to the general coupled nonlinear evolution equations. Zakharov system and a long-short-wave interaction system are considered as examples, and the new applications of the complex tanh-function expansion method are shown.

Key words: Zakharov system, long-short-wave interaction system, complex tanh-function expansion method, exact solution

PACS numbers: 

  • 123a