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We study the linear evolution of small perturbations in self-gravitating fluid systems with magnetic fields. We consider wave-like perturbations to nonuniform filamentary and sheet-like hydrostatic equilibria in the presence of a uniform…

天体物理学 · 物理学 2015-06-24 Curtis S. Gehman , Fred C. Adams , Richard Watkins

We analyze the emergence of wiggling temporal localized states in a passively mode-locked Vertical External- Cavity Surface-Emitting Laser composed by a gain chip and a resonant saturable absorber mirror. We show that the wiggling…

光学 · 物理学 2021-05-26 Denis Hessel , Svetlana V. Gurevich , Julien Javaloyes

In the framework of the focusing Nonlinear Schrodinger (NLS) equation we study numerically the nonlinear stage of the modulation instability (MI) of the condensate. As expected, the development of the MI leads to formation of "integrable…

可精确求解与可积系统 · 物理学 2015-09-15 D. S. Agafontsev , V. E. Zakharov

We study modulational stability and instability in the Whitham equation, combining the dispersion relation of water waves and a nonlinearity of the shallow water equations, and modified to permit the effects of surface tension and constant…

偏微分方程分析 · 数学 2015-08-28 Vera Mikyoung Hur , Mathew A. Johnson

Amorphous solids exhibit an excess of low-frequency vibrational modes beyond the Debye prediction, contributing to their anomalous mechanical and thermal properties. Although a $\omega^4$ power-law scaling is often proposed for the…

软凝聚态物质 · 物理学 2024-12-10 Surajit Chakraborty , Roshan Maharana , Smarajit Karmakar , Kabir Ramola

A multimode optical fiber with a truncated transverse cross section acts as a powerful versatile support to investigate the wave features of complex ray dynamics. In this paper, we concentrate on the case of a geometry inducing a mixed…

光学 · 物理学 2016-03-23 Claire Michel , Markus Allgaier , Valérie Doya

Modulation instability with subsideband generation induced by periodic power variation in soliton fiber ring lasers is reported. We found that different wavelength shifts of subsideband generation are related to different periodic power…

光学 · 物理学 2015-05-18 Zhi-Chao Luo , Wen-Cheng Xu , Chuang-Xing Song , Ai-Ping Luo , Wei-Cheng Chen

A simple analytical model is developed to analyze and explain the complex dynamics of the multi-peak modulation instability spectrum observed in dispersion oscillating optical fibers [M. Droques et al., 37, 4832-4834 Opt. Lett., (2012)]. We…

光学 · 物理学 2015-06-12 M. Droques , A. Kudlinski , G. Bouwmans , G. Martinelli , A. Mussot

The occurrence of the modulational instability (MI) in transverse dust lattice waves propagating in a one-dimensional dusty plasma crystal is investigated. The amplitude modulation mechanism, which is related to the intrinsic nonlinearity…

软凝聚态物质 · 物理学 2009-11-10 I. Kourakis , P. K. Shukla

We unveil the relation between the linear Anderson localisation process and nonlinear modulation instability. Anderson localised modes are formed in certain temporal intervals due to the random background noise. Such localised modes seed…

光学 · 物理学 2021-04-16 Mohammed F. Saleh , Claudio Conti , Fabio Biancalana

Transverse Mode Instability (TMI) which results from dynamic nonlinear thermo-optical scattering is the primary limitation to power scaling in high-power fiber lasers and amplifiers. It has been proposed that TMI can be suppressed by…

光学 · 物理学 2024-07-16 Kabish Wisal , Chun-Wei Chen , Hui Cao , A. Douglas Stone

Glasses have a large excess of low-frequency vibrational modes in comparison with crystalline solids. We show that such a feature is a necessary consequence of the geometry generic to weakly connected solids. In particular, we analyze the…

软凝聚态物质 · 物理学 2009-11-10 Matthieu Wyart , Sidney R. Nagel , T. A. Witten

Nonlinear waves in dispersive media can be succeptible to modulational instabilities. We examine a category of scalar equations, with general dispersion and monomial nonlinearity, including a large variety of KdV-like equations. For…

偏微分方程分析 · 数学 2026-03-25 Bhavna Kaushik , Bernard Deconinck

This work explores the interplay between dispersive parity breaking and non-linearity in two contrasting continuous dynamical systems that exhibit Modulation Instability (MI). We begin by examining deep water odd surface gravity waves and…

流体动力学 · 物理学 2024-06-10 Sudheesh Srivastava , Gustavo M. Monteiro , Sriram Ganeshan

Previous studies of the modulation instability (MI) of continuous waves (CWs) in a two-core fiber (TCF) did not consider effects caused by co-propagation of the two polarized modes in a TCF that possesses birefringence, such as cross-phase…

光学 · 物理学 2012-07-03 J. H. Li , K. S. Chiang , B. A. Malomed , K. W. Chow

In this paper, we study modulation instabilities (MI) in a one-dimensional chain configuration of a flexible mechanical metamaterial (flexMM). Using the lumped element approach, flexMMs can be modeled by a coupled system of discrete…

应用物理 · 物理学 2023-05-31 Antoine Demiquel , Vassos Achilleos , Georgios Theocharis , Vincent Tournat

A class of constant-amplitude (CA) solutions of the nonlinear Schrodinger equation with the third-order spatial dispersion (TOD) and complex potentials are considered. The system can be implemented in specially designed planar nonlinear…

光学 · 物理学 2017-06-28 Bin Liu , Lu Li , Boris A. Malomed

The modulational instability of broadband optical pulses in a four-state atomic system is investigated. In particular, starting from a recently derived generalized nonlinear Schr\"odinger equation, a wave-kinetic equation is derived. A…

斑图形成与孤子 · 物理学 2007-05-23 M. Marklund , P. K. Shukla , R. Bingham , J. T. Mendonca

In optical second harmonic generation with normal dispersion, the virtually infinite bandwidth of the unbounded, hyperbolic, modulational instability leads to quenching of spatial multi-soliton formation and to the occurrence of a…

光学 · 物理学 2009-11-10 D. Salerno , O. Jedrkiewicz , J. Trull , G. Valiulis , Antonio Picozzi , P. Di Trapani

Extensive numerical simulations were performed to investigate all stages of modulation instability development from the initial pulse of pico-second duration in photonic crystal fiber: quasi-solitons and dispersive waves formation, their…

斑图形成与孤子 · 物理学 2015-05-18 Dmitry Agafontsev