罕见的流氓波动可能是强非线性和不可积系统的普遍现象

IF 1.9 4区 工程技术 Q3 MECHANICS
Rahul Kashyap , Surajit Sen
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引用次数: 0

摘要

我们探讨了在经典β Fermi-Pasta-Ulam-Tsingou (FPUT)型系统的强非线性状态下,在后期可能存在足够大的能量或异常波动(RFs)。我们的研究建立在非耗散颗粒链系统的RFs研究的基础上,并提出在足够晚的时间内,稀有RFs可以通用于非可积强非线性系统的时间演化。考虑到非线性和不可积性,分析研究在很大程度上是不可接近的。因此,这些研究是通过广泛的动力学模拟进行的。我们评论了初始条件的作用和调和力对这些强非线性系统的惊人影响。这里关注的rf不同于众所周知的Peregrine孤子,它通过弱非线性Schrödinger方程来描述异常波。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Rare rogue fluctuations could be generic to strongly nonlinear and non-integrable systems

We explore the possible existence of sufficiently large energy or rogue fluctuations (RFs) at late times in the strongly nonlinear regime of the classic β Fermi–Pasta–Ulam–Tsingou (FPUT) type systems. Our studies build on a study of RFs in the non-dissipative granular chain system and suggest that rare RFs could be generic to the time evolution of non-integrable strongly nonlinear systems at late enough times. Given the nonlinearity and the nonintegrability, analytical studies are largely inaccessible. The studies have hence been carried out using extensive dynamical simulations. We comment on the role of initial conditions and the surprising influence of harmonic forces on these strongly nonlinear systems. The RFs under focus here are distinct from the well known Peregrine solitons used to describe rogue waves via the weakly nonlinear Schrödinger equation.

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来源期刊
CiteScore
4.10
自引率
4.20%
发文量
114
审稿时长
9 months
期刊介绍: Mechanics Research Communications publishes, as rapidly as possible, peer-reviewed manuscripts of high standards but restricted length. It aims to provide: • a fast means of communication • an exchange of ideas among workers in mechanics • an effective method of bringing new results quickly to the public • an informal vehicle for the discussion • of ideas that may still be in the formative stages The field of Mechanics will be understood to encompass the behavior of continua, fluids, solids, particles and their mixtures. Submissions must contain a strong, novel contribution to the field of mechanics, and ideally should be focused on current issues in the field involving theoretical, experimental and/or applied research, preferably within the broad expertise encompassed by the Board of Associate Editors. Deviations from these areas should be discussed in advance with the Editor-in-Chief.
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