Chinese Quarterly Journal of Mathematics ›› 2008, Vol. 23 ›› Issue (2): 260-269.

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Exact Solutions for the Generalized KdV Equation: Modified Homogeneous Balance Method

  

  1. 1. Foundation Department,Henan Mechanical and Electrical Engineering College  2. College of Mechanical and Electronic,Kaifeng University 
  • Received:2007-01-14 Online:2008-06-30 Published:2023-10-09
  • About author: WANG Xiu-mei(1964-), female, native of Xinxiang, Henan, an associate professor of Henan Mechanical and Electrical Engineering College, engages in foundation mathematics.
  • Supported by:
    Supported by the National Natural Science Foundation of China(10671182); Supported
    by the Foundation and Frontier Technology Research of Henan(082300410060)

Abstract: In this paper, we present a solution methodology to obtain exact solutions of some nonlinear evolution equation by modifying the homogeneous balance method. Based on the modified homogeneous balance method, several kinds of exact(new) solutions of the generalized KdV equation are obtained.

Key words: generalized KdV equation, modified homogeneous balance method, exact solutions

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