论文标题
从流氓波到孤儿
From rogue waves to solitons
论文作者
论文摘要
使用广义的非线性schrödinger方程，我们研究了基本的流氓波向孤子集的转化。作为概括效应，以三阶分散，自我静止和拉曼引起的自相变化，我们系统地观察基本的流氓波如何影响其周围的连续波背景，并重塑其自身的特征，而创建了一组孤子。我们表明，在自我静止效应的影响下，有限体积的流氓波可以转变为无限体积的孤子。另外，我们发现，随着拉曼引起的自频转移，减速的流氓波会产生红移的拉曼辐射，而流氓浪潮本身变成了缓慢的孤子。我们表明，这些效应中的每一个都有一个机制元素，有利于流氓波产生一组孤子，而流氓浪潮本身也成为这些孤子之一。
Using a generalized nonlinear Schrödinger equation, we investigate the transformation of a fundamental rogue wave to a collection of solitons. Taking the third-order dispersion, self-steepening, and Raman-induced self-frequency shift as the generalizing effects, we systematically observe how a fundamental rogue wave has an impact on its surrounding continuous wave background and reshapes its own characteristics while a group of solitons are created. We show that under the influence of the self-steepening effect, a finite-volume rogue wave can transform into an infinite volume soliton. Also, we find that with the Raman-induced self-frequency shift, a decelerating rogue wave generates a red-shifted Raman radiation while the rogue wave itself turns into a slow-moving soliton. We show that each of these effects has an element of mechanism that favors the rogue wave to generate a group of solitons while the rogue wave itself also becomes one of these solitons.
