| Variable-Coefficient Mapping Method Based on Elliptical Equation and Exact Solutions to Nonlinear SchrSdinger Equations with Variable Coefficient |
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| 作者姓名： | GE Jian-Ya WANG Rui-Min DAI Chao-Qing ZHANG Jie-Fang |
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| 作者单位： | [1]Normal Department of Humanities, College of Jinhua Professional Technology, Jinhua 321000, China [2]Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China |
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| 基金项目： | The project supported by the Natural Science Foundation of Zhejiang Province of China under Grant No. Y605312. |
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| 摘 要： |
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| 关 键 词： | 变量系数映射法 椭圆方程 理论物理 非线性薛定谔方程 Jacobian椭圆函数 |
| 收稿时间： | 2005-12-26 |
| 修稿时间： | 2005-12-262006-04-05 |
Variable-Coefficient Mapping Method Based on Elliptical Equation and Exact Solutions to Nonlinear SchrSdinger Equations with Variable Coefficient |
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| GE Jian-Ya WANG Rui-Min DAI Chao-Qing ZHANG Jie-Fang.Variable-Coefficient Mapping Method Based on Elliptical Equation and Exact Solutions to Nonlinear SchrSdinger Equations with Variable Coefficient[J].Communications in Theoretical Physics,2006,46(4):656-662. |
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| Authors: | GE Jian-Ya WANG Rui-Min DAI Chao-Qing ZHANG Jie-Fang |
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| Institution: | 1.Normal Department of Humanities, College of Jinhua Professional Technology, Jinhua 321000 China; 2.Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China |
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| Abstract: | In this paper, by means of the variable-coefficient mapping method based on elliptical equation, we obtain explicit solutions of nonlinear Schrodinger equation with variable-coefficient. These solutions include Jacobian elliptic function solutions, solitary wave solutions, soliton-like solutions, and trigonometric function solutions, among which some are found for the first time. Six figures are given to illustrate some features of these solutions. The method can be applied to other nonlinear evolution equations in mathematical physics. |
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| Keywords: | variable-coefficient mapping method based on elliptical equation nonlinear Schrodinger equation Jacobian elliptic function solutions solitonic solutions trigonometric function solutions |
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