| (2+1)-Dimensional Analytical Solutions of the Combining Cubic-Quintic Nonlinear Schrdinger Equation |
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| 引用本文： | 郭爱林,林机.(2+1)-Dimensional Analytical Solutions of the Combining Cubic-Quintic Nonlinear Schrdinger Equation[J].理论物理通讯,2012(4). |
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| 作者姓名： | 郭爱林 林机 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant Nos. 10875106 and 11175158 |
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| 摘 要： | We investigate analytical solutions of the(2+1)-dimensional combining cubic-quintic nonlinear Schrdinger(CQNLS) equation by the classical Lie group symmetry method.We not only obtain the Lie-point symmetries and some(1+1)-dimensional partial differential systems,but also derive bright solitons,dark solitons,kink or anti-kink solutions and the localized instanton solution.
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