在周期调制的单维波导阵列模型中的静止和移动波
Ross Parker1, Alejandro Aceves1, Jesús Cuevas-Maraver2
1Department of Mathematics, Southern Methodist University, Dallas, Texas 75275, USA.
Physical review. E
|September 19, 2023
概括
这项研究探讨了非线性施罗丁格格子中的连贯结构. 根据功率,能量要么单向移动,要么保持静止,从而显示出不同的系统行为.
科学领域:
- 非线性动力学是一种非线性动力学.
- 量子物理学的量子物理学
- 波浪的传播方式
背景情况:
- 离散的非线性施罗丁格方程模型在合波导中光的传播.
- 偶联的定期调制引入了复杂的动态.
- 连贯结构是非线性系统中自我复制的解决方案.
研究的目的:
- 在1D离散非线性施罗丁格格子中研究连贯结构,具有调制合.
- 描述不同的低功率运输和高功率静止行为.
- 分析这些制度之间的过渡和解决方案的稳定性.
主要方法:
- 离散非线性施罗丁格方程的数值模拟.
- 简化阶段功能合模型的分析.
- 对于静止溶液的花稳定性分析.
- 确定稳定的移动解决方案的参数.
主要成果:
- 观察到两种不同的行为:低功率的单向运输和高功率的静止解决方案.
- 确定为真周期轨道的静止解决方案.
- 移动解决方案通常表现出振荡式尾巴,但尾巴消失的参数存在.
- 稳定性分析表明精确的旅行解决方案的潜在稳定性.
结论:
- 该系统表现出电力依赖的动态,在运输和本地化之间进行过渡.
- 稳定的静止和移动连贯结构存在于特定参数模式内.
- 无尾部行驶解决方案可以提供增强的稳定性,独立于格子尺寸.
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