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水波动力学中的高度非线性布拉格准孤子

Highly nonlinear Bragg quasisolitons in the dynamics of water waves.

作者信息

Ruban V P

机构信息

Landau Institute for Theoretical Physics, 2 Kosygin Street, 119334 Moscow, Russia.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2008 May;77(5 Pt 2):055307. doi: 10.1103/PhysRevE.77.055307. Epub 2008 May 29.

DOI:10.1103/PhysRevE.77.055307
PMID:18643128
Abstract

Finite-amplitude gravity water waves in Bragg resonance with a periodic one-dimensional topography are studied numerically using exact equations of motion for ideal potential free-surface flows. Spontaneous formation of highly nonlinear localized structures is observed in the numerical experiments. These coherent structures consisting of several nearly standing extreme waves are similar in many aspects to the Bragg solitons previously known in nonlinear optics.

摘要

利用理想无旋自由表面流的精确运动方程，对与周期性一维地形发生布拉格共振的有限振幅重力水波进行了数值研究。在数值实验中观察到了高度非线性局域结构的自发形成。这些由几个近乎驻立的极端波组成的相干结构在许多方面与非线性光学中先前已知的布拉格孤子相似。

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