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《Journal of Liaoning University of Technology(Natural Science Edition)》 2011-01
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N-fold Darboux Transformation of Soliton Equation and Its Soliton Solutions

HAN Bing-bing(School of Mathematics,Liaoning Normal University,Dalian 116029,China)  
Soliton equation in the natural science research plays a very important part.The Darboux transformation of the soliton theory is the important burning topic.Solving soliton equation is of much importance in application and research.Based on a gauge transformation of a spectral problem,using Darboux transformation method,a N-fold Darboux transformation with multi-parameters for a soliton equation was established.Furthermore,the soliton solutions of the equation were found and consequently N=1 and N=2,these two cases were also discussed.
【CateGory Index】: O175.29
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 LI Hongen1,GUO Handong2(1.Department of Mathematics,Zhengzhou University,Zhengzhou 451000,China;2.Sias International University,Zhengzhou University,Zhengzhou 451000,China);Soliton Solution of Long Wave Equation[J];Journal of Henan Institute of Engineering(Natural Science Edition);2009-02
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