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广义耦合非线性薛定谔方程中的达布变换和多孤子解
  • 期刊名称：浙江师大学报
  • 时间：2015.5.20
  • 页码：121-128
  • 分类：O415[理学—理论物理;理学—物理]
  • 作者机构：[1]浙江师范大学教师教育学院,浙江金华321004, [2]浙江师范大学数理与信息工程学院,浙江金华321004
  • 相关基金：国家自然科学基金资助项目（11175158）
  • 相关项目：周期量级激光脉冲在非线性介质中传播特性研究
作者： 林机|郭帮兴|
关键词： 物质波孤子, 晶格势, 稳定性分析, 三五次非线性薛定谔方程, matter-wave soliton, lattice potential, stability analysis, cubic-quintic nonlinear Schrodinger equation
中文摘要：

利用相似约化方法研究光晶格势中空间调制的三五次非线性薛定谔方程,找到了一些新颖的物质波孤子解.进一步讨论了E=0和E≠0时物质波孤子的传播特性.最后,采用数值模拟的方法对孤子的稳定性进行了研究,发现了一些稳定的物质波孤子.

英文摘要：

By means of similarity transformations,it was constructed the explicit matter-wave solitons of the cubic-quintic nonlinear Schrdinger equation trapped in optical lattices with nonlinearities depending on spatial coordinates. The propagation dynamics of soliton when E = 0 and E≠0 were investigated. The stability of the exact solutions was investigated numerically and some stable soliton solutions were obtained.

同期刊论文项目
周期量级激光脉冲在非线性介质中传播特性研究
期刊论文 31
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