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《Jiangxi Science》 2010-06
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Darboux Transformation of HBK Equation and Its Solition Solutions

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)  
Solition equation is a very potential subject for research in the domain of nonlinear science.Based on the resulving Lax pairs of HBK equation,vary through table question and norm transformation of HBK equation,a darboux transformation of parameters is structured.In the end,we obtained the solition solutions and discussed N=1 and N=2 two cases of solition solutions.
【Fund】: 郑州大学西亚斯国际学院青年项目(2010KYYB19)
【CateGory Index】: O175.29
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【Citations】
Chinese Journal Full-text Database 3 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
3 LIU PingSchool of Mathematics and Statistics,Southwest University,Chongqing 400715,Chin;Darboux Transformation of Broer-Kaup System and Its Even-Soliton Solutions[J];Journal of Southwest University(Natural Science Edition);2009-07
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 LIU Yu-xiao (Pingdingshan Institute of Technology, Pingdingshan 467001,China);Darboux transformations of Boussinesq-Burgers equation[J];Journal of Pingdingshan Institute of Technology;2005-02
2 LI Bao-an~1,LI Xiang-zheng~1,2,WANG Yue-ming~1,WANG Ming-liang~1,3(1Detp.of Math.& Phys.,Henan Univ.of Sci.& Tech.,Luoyang 471003,China;2Dep.of Math.,Zhengzhou Univ.,Zhenzhou 450000,China;3Dep.of Math.,Lanzhou Univ.,Lanzhou 730000,China);A Nonlinear Equation Arising from the Sinh-Laplace Equation and its Exact Soluations[J];Journal of Hunan Institute of Engineering;2003-04
3 LIU Chang-fu(Department of Mathematics & Physics of Wenshan Teachers' College,Wenshan 663000,China);The Periodic Wave Solutions for a Class of Nonlinear Evolution Equation[J];College Mathematics;2008-03
4 SHI Ye-qiong,HAN Song(Information and Computing Science Department,Guangxi University of Technology,Liuzhou 545006,China);Exact travelling wave solutions for the coupled modified Kadomtsev-Petviashvili equations[J];Journal of Guangxi University of Technology;2008-01
5 SHI Ye-qiong,SONG Han(Department of Information and Computing Science,Guangxi University of Technology,Liuzhou 545006,China);The application of Jacobi elliptic function period solutions in solving CMKP equations[J];Journal of Guangxi University of Technology;2008-02
6 LIANG Jian1,SHI Ye-qiong2,HAN Song2(1.Adult Education School,Liuzhou City Vocational Institute,Liuzhou 545001,China;2.Information and Computing Science Department,Guangxi University of Technology,Liuzhou 545006,China);New exact solutions of real quintic Swift-Hohenberg equation by homogeneous balance method[J];Journal of Guangxi University of Technology;2008-04
7 ZHOU Zhen-chuan~(1,2),ZHOU Zhen-jiang~(2,3) (1.Department of Mathematics,Huangshan College,Huangshan Anhui 245041,China; 2.Department of Computer Science and Technology,East China Normal University, Shanghai 200062,China;3.Department of Information Science,Nanjing College for Population Programme Management,Nanjing 210042,China);3×3 Matrix Spectral Problem and Its Darboux Transformation[J];Journal of East China Normal University(Natural Science);2007-05
8 WANG Rui-min ,LIN Ping (Jinhua College of Professional and Technology,Jinhua321007,China);Multisolitary Wave Solutions of Nonlinear Equation Broer-Kaup[J];Journal of Jinhua College of Profession and Technology;2004-02
9 Liu Deyan(College of Mathematics and Physics,Lishui University,Lishui Zhejiang 323000,China);New Exact Solutions of(2+1)-Dimensional Kadomtsev-Petviashvili Equation Via a Mapping Approach[J];Journal of Lishui Teachers College;2005-05
10 LI Xiang-Zheng~1,PENG Zhi-Xiong~2,WANG Ming-Liang~(1, 3) (1.Dep. of Math. & Phys., Henan Univ. of Sci. & Technol., Luoyang 471003,China;2.Coll. of Sci., Southern Inst. of Metall., Ganzhou 341000,China;3.Dep. of Math., Lanzhou Univ., Lanzhou 730000, China);A Method of Solving Sinh-Gordon Equation[J];Journal of Luoyang Institute of Technology;2004-02
【Secondary Citations】
Chinese Journal Full-text Database 3 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
3 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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