| Bcklund transformation, non-local symmetry and exact solutions for (2+1)-dimensional variable coefficient generalized KP equations |
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| 引用本文： | Zhenya YAN Institute of Mathematical Science,Dalian University of Technology,Dalian 116024,China, e-mail: zhanghq@dlut. edu.cn. Bcklund transformation, non-local symmetry and exact solutions for (2+1)-dimensional variable coefficient generalized KP equations[J]. Communications in Nonlinear Science & Numerical Simulation, 2000, 0(1) |
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| 作者姓名： | Zhenya YAN Institute of Mathematical Science Dalian University of Technology Dalian 116024 China e-mail: zhanghq@dlut. edu.cn |
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| 作者单位： | Zhenya YAN Institute of Mathematical Science，Dalian University of Technology，Dalian 116024，China; e-mail: zhanghq@dlut. edu.cn |
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| 基金项目： | The author thanks Prof. Fan EngUi for help，advice. The project is supported by the National Key Basic Research Program FOund |
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| 摘 要： | IntroductionDuring the study of water wave, many completely iategrable models were derived, such as(1+1)-dimensional KdV equation, MKdV equation, (2+1)-dimensional KdV equation, Boussinesq equation and WBK equations etc. Many properties of these models had been researched,such as BAcklund transformation (BT), converse rules, N-soliton solutions and Painleve property etc.II--8]. In this paper, we would like to consider (2+1)-dimensional variable coefficientgeneralized KP equation which …
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Backlund transformation, non-local symmetry and exact solutions for (2+1)-dimensional variable coefficient generalized KP equations |
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| Zhenya YAN Institute of Mathematical Science,Dalian University of Technology,Dalian ,China, e-mail: zhanghq@dlut. edu.cn. Backlund transformation, non-local symmetry and exact solutions for (2+1)-dimensional variable coefficient generalized KP equations[J]. 非线性科学与数值模拟通讯(英文版), 2000, 0(1) |
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| Authors: | Zhenya YAN Institute of Mathematical Science Dalian University of Technology Dalian China e-mail: zhanghq@dlut. edu.cn |
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| Affiliation: | Zhenya YAN Institute of Mathematical Science,Dalian University of Technology,Dalian 116024,China, e-mail: zhanghq@dlut. edu.cn |
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| Abstract: | With the aid of MATHEMATICA, the idea of improved homogeneous balance method is extended to (2+1)-dimensional variable coefficients KP equation. As a result, Backlund transformation and non-local symmetry are found. Then via using the Backlund transformation, six families of exact solutions for (2+1)-dimensional variable coefficients KP equation are obtained, which contain new soliton-like solutions. |
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| Keywords: | variable coefficient generalized KP equation Backlund transformation nonlocal symmetry exact solution soliton |
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