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《Journal of Zhengzhuou University (Natural Science Edition)》 2001-03
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Darboux Transformation of 2+1 Dimensional Levi Equation

Zhang Jinshun1, Li Huaxia2 (1. Department of Mathematics, Zhengzhou University 450052; 2. Luoyang College of Science and Technology, Luoyang, Henan 471000)  
Darboux transformation of Levi hierarchy is considered. It is used to generate new solutions of Levi equations. Some interesting solutions of 2+1 dimensional Levi equations are found.
【Fund】: 河南省自然科学基金资助项目
【CateGory Index】: O175.9
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【References】
Chinese Journal Full-text Database 9 Hits
1 JIANG Wen-li;CHENG Hui-yan;Wanfang College of Science & Technology HPU;;Darboux Transformation and Exact Solutions of the m KP Equations[J];贵阳学院学报(自然科学版);2015-03
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5 MIN Di1,FENG Bin-lu2(1.Liaoning Normal University,Dalian 116029,China;2.Weifang University,Weifang 261061,China);Darboux Transformation and Exact Solutions of the (2+1)-dimensional Levi Soliton Equations[J];潍坊学院学报;2009-04
6 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;2008-03
7 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];数学物理学报;2006-S1
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9 LIU Yu-xiao (Pingdingshan Institute of Technology, Pingdingshan 467001,China);Darboux transformations of Boussinesq-Burgers equation[J];平顶山工学院学报;2005-02
【Co-references】
Chinese Journal Full-text Database 8 Hits
1 YANG Guo-zeng1,HUANG Kun2(1.Dept.of Mathematics,Zhengzhou University,Zhengzhou 450052,China;2.Dept.of Mathematics,North China Institute of Water Conservancy and Hydroelectic Power,Zhengzhou 450011,China);Darboux Transformation and Multi-soliton Solutions of the Coupled Harry-Dym Solition Equation[J];华北水利水电学院学报;2009-02
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];Applied Mathematics and Mechanics(English Edition);2008-03
3 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;2008-03
4 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];数学物理学报;2006-S1
5 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];西南师范大学学报(自然科学版);2006-05
6 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];洛阳师范学院学报;2005-05
7 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];物理学报;2003-02
8 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];郑州大学学报(自然科学版);2001-03
【Secondary References】
Chinese Journal Full-text Database 10 Hits
1 GUO Han-dong;Sias College of Zhengzhou University;;Lax Coupling mKP Equations and Decomposition[J];枣庄学院学报;2014-05
2 WANG Zhenhui;LI Shijin;School of Mathematics and Information Science,Henan Polytechnic University;;Darboux Transformation and Explicit Solutions of Soliton Equations[J];江汉大学学报(自然科学版);2014-02
3 Yang Cuiping;Department of Mathematics,Taiyuan University Foreign Language Normal School;;The Soliton Solution of a New Equation from Darboux Transformations[J];太原师范学院学报(自然科学版);2013-03
4 HUANG Kun1,Lü Yue2(1.College of Mathematics and Information Science,North China University of Water Resources and Electric Power,Zhengzhou 450011,China;2.College of Mathematics,Jilin University,Changchun 130012,China);Darboux Transformations for (2+1)-Dimensional MKdV Equation and Its Soliton Solution[J];吉林大学学报(理学版);2013-04
5 HUANG Kun,CHEN You-jun(Department of Mathematics,North China University of Water Resources and Electric Power,Zhengzhou,450011,China);Relation among Darboux transformations for (2+1) dimensional coupled KdV equation and its soliton solution[J];黑龙江大学自然科学学报;2013-01
6 HUANG Kun,CHEN You-jun(Department of Mathematics,North China University of Water Resources and Electric Power,Zhengzhou 450011,China);Relationship among Three Kinds of Darboux Transformation and Explicit Solutions of Broer-Kaup System[J];郑州大学学报(理学版);2012-03
7 WEN Xiao-yong (School of Aeronautic Science and Engineering,Beijing University of Aeronautics and Astronautics,Beijing 100191,China) (Department of Mathematics,College of Sciences,Beijing Information Science and Technology University,Beijing 100192,China);N-fold Darboux Transformation and Infinitely Many Conservation Laws for a Discrete Lattice Equation[J];数学的实践与认识;2012-13
8 YANG Cui-ping(Department of Mathematics,Foreign Language Normal College,Taiyuan University,Taiyuan 030012,China);Darboux Transformations of a New Soliton Equation[J];宜宾学院学报;2010-12
9 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];江西科学;2010-06
10 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];数学的实践与认识;2010-21
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