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《应用数学和力学(英文版)》 2008-03
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Darboux transformation of generalized coupled KdV soliton equation and its odd-soliton solutions

LIU Ping (Department of Applied Mathematics,School of Mathematics and Statistics,Southwest University,Chongqing 400715,P.R.China)  
Based on the resulting Lax pairs of the generalized coupled KdV soliton equa- tion,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 Darboux transformation,the generalized odd-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.
【Fund】: the Science Fundation for Young Teachers of Southwest University(No.SWUQ2006028)
【CateGory Index】: O175.29
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【References】
Chinese Journal Full-text Database 3 Hits
1 ZHAO Yun-mei 1,YANG Yun-jie 2,LI Wei 1(1.Department of Mathematics,Honghe University,Mengzi 66110,China;2.Department of Mathematics,Kunming University,Kunming 650031,China);Application of the (G'/G)-expansion method to new exact solutions for generalized (2+1)-dimensional[J];Pure and Applied Mathematics;2011-03
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 PING Liu, RONG Zhang ( School of Mathematics and Finance, Xinan Normal University, Chongqing 400715; Basic Education Department Luoyang University 471023, China);Darboux Transformation of Generalized Coupled (KdV) Equation and its Exact Solution[J];Journal of Luoyang Teachers College;2005-05
【Co-citations】
Chinese Journal Full-text Database 4 Hits
1 Liu Ping (Department of applied mathematics. School of Mathematics and Statistics, Southwest University, Chongqing 400715);Darboux Transformation of Broer-Kaup System and Its Soliton Solutions[J];Acta Mathematica Scientia;2006-S1
2 Liu Ping (Department of Applied Mathematics,School of Mathematics and Statistics, Southwest University,Sichuan Chongqing 400715);Darboux Transformation of Generalized Coupled KdV Soliton Equation and its Even-soliton Solutions[J];Acta Mathematica Scientia;2009-05
3 LIU Ping~1, ZHANG Jin-shun~21. School of Mathematics and Statistics, Southwest University, Chongqing 400715, China;2. Department of Mathematics, Huaqiao University, Quanzhou Fujian 362021, China;Darboux Transformation of Broer-Kaup System and Its Odd-Soliton Solutions[J];Journal of Southwest China Normal University(Natural Science Edition);2006-05
4 LIU Ping(Department of Applied Mathematics,School of Mathematics and Statistics,Southwest University,Chongqing 400715,P.R.China);Darboux Transformation of Generalized Coupled KdV Soliton Equation and Its Odd-Soliton Solutions[J];Applied Mathematics and Mechanics;2008-03
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【Secondary References】
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1 CUI Huai-lei,JI Fei-yu(Department of Mathematics,Northwest University,Xi′an 710127,China);Application of the extended Jacobi elliptic function expansion method to RLW equation[J];Basic Sciences Journal of Textile Universities;2012-03
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