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《Journal of Southwest University(Natural Science Edition)》 2009-07
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Darboux Transformation of Broer-Kaup System and Its Even-Soliton Solutions

LIU PingSchool of Mathematics and Statistics,Southwest University,Chongqing 400715,Chin  
A new Darboux transformation associated with the Broer-Kaup system is derived with the help of a gauge transformation of spectral problems.By using Darboux transformation,even-soliton solutions of the Broer-Kaup system are obtained and presented in a determinant form.As an application,the first two cases are given.
【Fund】: 西南大学青年基金资助项目(SWUQ2006028).
【CateGory Index】: O175.29
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【References】
Chinese Journal Full-text Database 1 Hits
1 GUO Han-dong1,CHENG Jian-ling2(1.Sias Iternational College of Zhengzhou University,Henan Xinzheng 451150 PRC;2.Huaxin College of Zhengzhou,Henan Xinzheng 451100 PRC);Darboux Transformation of HBK Equation and Its Solition Solutions[J];Jiangxi Science;2010-06
【Citations】
Chinese Journal Full-text Database 2 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,Chongqing 400715,P.R.China);Darboux transformation of generalized coupled KdV soliton equation and its odd-soliton solutions[J];应用数学和力学(英文版);2008-03
【Co-citations】
Chinese Journal Full-text Database 6 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
2 GUO Han-dong1,CHENG Jian-ling2(1.Sias Iternational College of Zhengzhou University,Henan Xinzheng 451150 PRC;2.Huaxin College of Zhengzhou,Henan Xinzheng 451100 PRC);Darboux Transformation of HBK Equation and Its Solition Solutions[J];Jiangxi Science;2010-06
3 WEN Xiao-yong~(1,2),ZHANG Bing-Jiang~1 (1.Department of Mathematics,College of Sciences,Beijing Information Science and Technology University, Beijing 100192,China) (2.School of Aeronautic Science and Engineering,Beijing University of Aeronautics and Astronautics,Beijing 100191,China);Darboux Transformation and Multi-Soliton Solutions of The Dispersive Long-Wave Equations[J];Mathematics in Practice and Theory;2010-21
4 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
5 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
6 RUAN Chuantong,WEI Hanyu(Department of Mathematics,Zhoukou Normal University,Zhoukou 466001,China);Darboux transformation of a discrete coupled mKdV equation and its explicit solutions[J];Journal of Zhoukou Normal University;2010-05
【Co-references】
Chinese Journal Full-text Database 2 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 Zhou Zhen Jiang 1)2) \ Li Zhi Bin 1) 1) (Department of Computer Science,East China Normal University, Shanghai\ 200062,China) 2) (Department of Computer Science,Mudanjiang University, Mudanjiang\ 157011,China);A Darboux transformation and new exact solutions for Broer-Kaup system[J];Acta Physica Sinica;2003-02
【Secondary Citations】
Chinese Journal Full-text Database 2 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
2 Zhang Jinshun1, Li Huaxia2 (1. Department of Mathematics, Zhengzhou University 450052; 2. Luoyang College of Science and Technology, Luoyang, Henan 471000);Darboux Transformation of 2+1 Dimensional Levi Equation[J];Journal of Zhengzhuou University (Natural Science Edition);2001-03
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