Acta mathematica scientia,Series A

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Darboux Transformation of Broer-Kaup System

Liu Ping   

  1. Department of applied mathematics, School of Mathematics and Statistics, Southwest University, Chongqing 400715
  • Received:2005-06-13 Revised:2006-03-20 Online:2006-12-25 Published:2006-12-25
  • Contact: Liu Ping

Abstract: Based on the resulting Lax pairs of Broer-Kaup system, a new Darboux Transformation with multi-parameters is derived with the help of a gaugetransformation of Broer-Kaup system spectral problem. From a trivial seed,using Darboux Transformation, the generalized soliton solutions of Broer-Kaup system are given, and we discuss N=1 and N=2 two cases. It is a new type for soliton figures associated with 2X2 matrix spectral problem.

Key words: Darboux Transformation, Broer-Kaup system, Soliton equation, Soliton solution

CLC Number: 

  • 35Q51
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