Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (5): 1213-1222.

• Articles • Previous Articles     Next Articles

Darboux Transformation of Generalized Coupled KdV Soliton Equation and its Even-soliton Solutions

  

  1. Department of Applied Mathematics, School of Mathematics and Statistics, Southwest University, Sichuan Chongqing 400715
  • Received:2007-11-08 Revised:2008-10-09 Online:2009-10-25 Published:2009-10-25
  • Supported by:

    西南大学学校青年基金(SWUQ2006028)资助

Abstract:

Based on  the resulting Lax pairs of the generalized coupled KdV soliton equation, a new Darboux transformation with multi-parameters for the generalized coupled KdV soliton equation is derived with the help of a gauge transformation of the spectral problem. By using the Darboux transformation, the generalized even-soliton solutions of the generalized coupled KdV soliton equation are given and presented in determinant form. As an application, the first two cases are given.

Key words: Darboux transformation, Soliton equation, Even-soliton solution, Gauge transformation

CLC Number: 

  • 35Q51
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