| General Symmetry Approach to Solve Variable—Coefficient Nonlinear Equations |
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| 引用本文： | RUANHang－Yu CHENYi－Xin 等. General Symmetry Approach to Solve Variable—Coefficient Nonlinear Equations[J]. 理论物理通讯, 2001, 35(6): 641-646 |
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| 作者姓名： | RUANHang－Yu CHENYi－Xin 等 |
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| 作者单位： | [1]InstituteofModernPhysics,NingboUniversity,Ningbo315211,China [2]ZhejiangInstituteofModernPhysics,Zhejian |
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| 摘 要： | After considering the variable coefficient of a nonlinear equation as a new dependent variable,some special types of variable-coefficient equation can be solved from the corresponding constant-coefficient equations by using the general classical Lie approach.Taking the nonlinear Schrodinger equation as a concrete example,the method is recommended in detail.
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| 关 键 词： | 变系数非线性方程 对称方法求解 非线性Schrodinger方程 |
| 收稿时间： | 2000-08-15 |
General Symmetry Approach toSolve Variable-Coefficient Nonlinear Equations |
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| RUAN Hang-Yu,CHEN Yi-Xin and LOU Sen-Yue. General Symmetry Approach toSolve Variable-Coefficient Nonlinear Equations[J]. Communications in Theoretical Physics, 2001, 35(6): 641-646 |
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| Authors: | RUAN Hang-Yu CHEN Yi-Xin LOU Sen-Yue |
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| Affiliation: | 1. Institute of Modern Physics, Ningbo University,Ningbo 315211, China;2. Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027, China |
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| Abstract: | After considering the variable coefficient of a nonlinear equation as a new dependent variable, some special types of variable-coefficient equation can be solved from the corresponding constant-coefficient equations by using the general classical Lie approach. Taking the nonlinear Schrödinger equation as a concrete example, the method is recommended in detail. |
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| Keywords: | symmetry approach variable coefficient equation |
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