可积湍流与怪波：呼吸子还是孤立子？

Integrable Turbulence and Rogue Waves: Breathers or Solitons?

作者信息

Soto-Crespo J M, Devine N, Akhmediev N

机构信息

Instituto de Óptica, CSIC, Serrano 121, 28006 Madrid, Spain.

Optical Sciences Group, Research School of Physics and Engineering, The Australian National University, Canberra ACT 2600, Australia.

出版信息

Phys Rev Lett. 2016 Mar 11;116(10):103901. doi: 10.1103/PhysRevLett.116.103901. Epub 2016 Mar 9.

DOI:10.1103/PhysRevLett.116.103901

PMID:27015481

Abstract

Turbulence in dynamical systems is one of the most intriguing phenomena of modern science. Integrable systems offer the possibility to understand, to some extent, turbulence. Recent numerical and experimental data suggest that the probability of the appearance of rogue waves in a chaotic wave state in such systems increases when the initial state is a random function of sufficiently high amplitude. We provide explanations for this effect.

摘要

动力系统中的湍流是现代科学中最引人入胜的现象之一。可积系统为在一定程度上理解湍流提供了可能性。最近的数值和实验数据表明，当初始状态是足够高振幅的随机函数时，此类系统中混沌波态下出现 rogue 波的概率会增加。我们对这种效应给出了解释。