Acta mathematica scientia,Series A ›› 1997, Vol. 17 ›› Issue (S1): 168-174.

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EXPLICIT EXACT SOLUTIONS TO A GENERALIZED KDV EQUAFION

Ma Wenxiu1, Zhou Detang2   

  1. 1. Institute of Mathematics, Fudan University, Shanghai 200433, China;
    2. Department of Mathematics, Shandong University, Jinan, Shandong 250100, China
  • Received:1992-12-23 Online:1997-12-26 Published:1997-12-26

Abstract: This paper carefully analyses the possibility of that a generalized KdV equation possesses a family of solutions of the finite series form,and thus a kind of its explicit complex exact solutions is cxhibited.These complex solutions constitute real exact solutions to the system of complex form of the above generalized KdV equation.

Key words: Generalized KdV equation, travelling wave solution, series method

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