| 变系数耦合非线性薛定谔方程的怪波解 |
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| 引用本文： | 刘慧. 变系数耦合非线性薛定谔方程的怪波解[J]. 吉首大学学报(自然科学版), 2014, 35(4): 23-26. DOI: 10.3969/j.issn.1007-2985.2014.04.006 |
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| 作者姓名： | 刘慧 |
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| 作者单位： | （华北电力大学数理学院，北京 102206） |
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| 基金项目： | 国家自然科学基金青年项目（11301179） |
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| 摘 要： | 首先通过规范变换建立了该方程与标准的耦合非线性薛定谔方程的联系;进而运用达布变换求出标准的耦合非线性薛定谔方程的怪波解,得到变系数耦合非线性薛定谔方程的怪波解;最后讨论了超格势阱影响下的耦合非线性薛定谔方程的怪波解的动力学行为.
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| 关 键 词： | 变系数可积系统 耦合薛定谔方程 达布变换 怪波解 |
Rogue Wave in Coupled Nonlinear Schrodinger Equations with Variable Coefficients |
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| LIU Hui. Rogue Wave in Coupled Nonlinear Schrodinger Equations with Variable Coefficients[J]. Journal of Jishou University(Natural Science Edition), 2014, 35(4): 23-26. DOI: 10.3969/j.issn.1007-2985.2014.04.006 |
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| Authors: | LIU Hui |
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| Affiliation: | (Department of Mathematical and Physical Sciences,North China Electric Power University,Beijing 102206,China) |
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| Abstract: | Firstly, the special SchrOdinger equations are connected to the classical coupled nonlinear SchrOdinger equations by a gauge transformation. Next, rogue wave solutions of the classical coupled nonlinear Schrodinger equations are obtained through Darboux transformation. Therefore,we can get the rogue wave solutions of the coupled nonlinear Schrodinger equations with variable coefficients. Finally, the dynamic behavior of the coupled nonlinear Schrodinger equations with variable coefficients under the influence of the super-lattice potentials is discussed. |
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| Keywords: | integrable system with variable coefficients,coupled nonlinear Schrodinger equations Darbouxtransformation rogue wave solutions |
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