| 变系数耦合非线性薛定谔方程的矢量孤子解:暗-亮孤子解 |
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| 引用本文： | 宋祥,李画眉.变系数耦合非线性薛定谔方程的矢量孤子解:暗-亮孤子解[J].浙江师范大学学报(自然科学版),2013,36(3):294-298. |
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| 作者姓名： | 宋祥 李画眉 |
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| 作者单位： | 浙江师范大学数理与信息工程学院,浙江金华,321004 |
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| 基金项目： | 国家自然科学基金资助项目，浙江省自然科学基金资助项目 |
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| 摘 要： | 利用相似约化的方法获得了变系数耦合非线性薛定谔方程的矢量孤子解:暗-亮孤子解;详细讨论了在周期分布放大系统中矢量孤子的传播特性;最后通过数值模拟证明了在有限的约束条件扰动或者初始扰动下矢量孤子都能稳定传播.
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| 关 键 词： | 暗-亮孤子解 变系数耦合非线性薛定谔方程 周期分布放大系统 稳定性分析 |
The vector soliton solution of coupled nonlinear Schr(o)dinger equations with variable coefficients: dark-bright soliton solution |
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| SONG Xiang
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LI Huamei.The vector soliton solution of coupled nonlinear Schr(o)dinger equations with variable coefficients: dark-bright soliton solution[J].Journal of Zhejiang Normal University Natural Sciences,2013,36(3):294-298. |
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| Authors: | SONG Xiang LI Huamei |
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| Affiliation: | ( College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua Zhejiang 321004, China } |
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| Abstract: | By means of the similarity transformation, the vector soliton solution （ dark-bright soliton solution） of the coupled nonlinear Schrisdinger equations with variable coefficients was obtained. The propagation dy- namics of vector soliton in the periodic distributed amplification system were investigated. It was also showed that the propagation of vector soliton was stable under the finite perturbation of the constraint condition or the finite perturbation of the initial data by numerical simulations. |
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| Keywords: | dark-bright soliton solution coupled nonlinear Schr(o)dinger equations with variable coefficients periodic distributed amplification system stability analysis |
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