在具有远程非凸散散的介质中使用明亮的旅行呼吸器
Sathyanarayanan Chandramouli1, Yifeng Mao2, Mark A Hoefer2
1Department of Mathematics and Statistics, University of Massachusetts, Amherst, Amherst, Massachusetts 01003, USA.
Physical review. E
|April 18, 2024
概括
旅行呼吸器,周期性背景上的孤独波,在非本地媒体上进行了数值研究. 这些波作为缺陷,提供了对海洋和光学系统的洞察力,具有非局部分散.
科学领域:
- 流体动力学 流体动力学
- 非线性波浪现象非线性波浪现象
- 计算物理学的计算物理.
背景情况:
- 被称为旅行呼吸器的单一波,存在于周期性旅行波背景上.
- 非局部分散介质为波传播分析带来了独特的挑战.
研究的目的:
- 在代表性的非局部分散介质中数量调查旅行呼吸器的存在和特性.
- 在弱和强非线性模型中分析这些波的行为.
主要方法:
- 一个固定点计算方案被用来解决一个时空边界值问题.
- 为本杰明-博纳-马霍尼方程和导管方程获得了数值解.
- 旅行呼吸器解决方案继续进入大振幅模式.
主要成果:
- 单位平均移动呼吸器解决方案的曲线在3D参数空间中被映射出来.
- 在非凸的共振中,合理的线性分散为呼吸者创造了一个振荡的背景.
- 旅行呼吸者表现出拓阶段跳跃,在周期背景上表现为缺陷.
结论:
- 对于小幅度,旅行呼吸者近似的非线性施罗丁格方程的明亮单子.
- 这些溶液在大幅度上在结状或结状状的背景上转化为高度缺陷.
- 该研究提供了对非凸,非局部分散的系统的见解,与海洋波和光脉冲相关.
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