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We theoretically describe the quasi one-dimensional transverse spreading of a light pulse propagating in a nonlinear optical material in the presence of a uniform background light intensity. For short propagation distances the pulse can be…

斑图形成与孤子 · 物理学 2019-07-30 M. Isoard , A. M. Kamchatnov , N. Pavloff

We use the Gurevich-Pitaevskii approach based on the Whitham averaging method for studying the formation of dispersive shock waves in an intense light pulse propagating through a saturable nonlinear medium. Although the Whitham modulation…

斑图形成与孤子 · 物理学 2020-09-23 Sergey K. Ivanov , Jules-Elemir Suchorski , Anatoly M. Kamchatnov , Mathieu Isoard , Nicolas Pavloff

We experimentally investigate the interplay between spatial shock waves and the degree of disorder during nonlinear optical propagation in a thermal defocusing medium. We characterize the way the shock point is affected by the amount of…

光学 · 物理学 2015-06-11 N. Ghofraniha , S. Gentilini , V. Folli , E. DelRe , C. Conti

The theory of optical dispersive shocks generated in propagation of light beams through photorefractive media is developed. Full one-dimensional analytical theory based on the Whitham modulation approach is given for the simplest case of…

斑图形成与孤子 · 物理学 2008-02-09 G. A. El , A. Gammal , E. G. Khamis , R. A. Kraenkel , A. M. Kamchatnov

We consider evolution of wave pulses with formation of dispersive shock waves in framework of fully nonlinear shallow-water equations. Situations of initial elevations or initial dips on the water surface are treated and motion of the…

斑图形成与孤子 · 物理学 2021-11-08 S. K. Ivanov , A. M. Kamchatnov

We consider dispersive optical shock waves in nonlocal nonlinear media. Experiments are performed using spatial beams in a thermal liquid cell, and results agree with a hydrodynamic theory of propagation.

光学 · 物理学 2009-11-13 Christopher Barsi , Wenjie Wan , Can Sun , Jason W. Fleischer

In most classical fluids, shock waves are strongly dissipative, their energy being quickly lost through viscous damping. But in systems such as cold plasmas, superfluids, and Bose-Einstein condensates, where viscosity is negligible or…

光学 · 物理学 2015-05-13 Wenjie Wan , Shu Jia , Jason W. Fleischer

The nonlinear dynamics of pulses in a two-temperature collisionless plasma with formation of dispersion shock waves is studied. An analytical description is given for arbitrary form of an initial disturbance with smooth enough density…

等离子体物理 · 物理学 2021-11-08 Sergey K. Ivanov , Anatoly M. Kamchatnov

The structure of optical dispersive shock waves in nematic liquid crystals is investigated as the power of the optical beam is varied, with six regimes identified, which complements previous work pertinent to low power beams only. It is…

Dispersive shock waves are fascinating phenomena occurring when nonlinearity overwhelms linear effects, such as dispersion and diffraction. Many features of shock waves are still under investigation, as the interplay with noninstantaneity…

Dispersive shock waves and solitons are fundamental nonlinear excitations in dispersive media, but dispersive shock wave studies to date have been severely constrained. Here we report on a novel dispersive hydrodynamics testbed: the…

斑图形成与孤子 · 物理学 2016-05-04 Michelle D. Maiden , Nicholas K. Lowman , Dalton V. Anderson , Marika E. Schubert , Mark A. Hoefer

This paper probes the dispersive shock waves (DSWs) theory in nonlinear optical systems through Whitham modulation theory for the high-order Chen-Lee-Liu (HOCLL) equation. We systematically derived the one-phase periodic solutions and the…

数学物理 · 物理学 2026-01-06 Hua-Ying Ren , Rui Guo , Jian-Wen Zhang

We are able to detect the details of spatial optical collisionless wave-breaking through the high aperture imaging of a beam suffering shock in a fluorescent nonlinear nonlocal thermal medium. This allows us to directly measure how…

光学 · 物理学 2014-03-05 N. Ghofraniha , L. Santamaria Amato , V. Folli , S. Trillo , E. DelRe , C. Conti

It is shown that the generalized discrete nonlinear Schr\"odinger equation can be reduced in a small amplitude approximation to the KdV, mKdV, KdV(2) or the fifth-order KdV equations, depending on values of the parameters. In dispersionless…

斑图形成与孤子 · 物理学 2015-06-26 A. M. Kamchatnov , A. Spire , V. V. Konotop

The focusing of acoustic waves is used to study nucleation phenomena in liquids. At large amplitude, non-linear effects are important so that the magnitude of pressure or density oscillations is difficult to predict. We present a…

软凝聚态物质 · 物理学 2010-05-11 C. Appert , C. Tenaud , X. Chavanne , S. Balibar , F. Caupin , D. d'Humières

Shock wave theory was first studied for gas dynamics, for which shocks appear as compression waves. A shock wave is characterized as a sharp transition, even discontinuity in the flow. In fact, shocks appear in many different physical…

偏微分方程分析 · 数学 2007-05-23 Tai-Ping Liu

We suggest a method for calculation of parameters of dispersive shock waves in framework of Whitham modulation theory applied to non-integrable wave equations with a wide class of initial conditions corresponding to propagation of a pulse…

斑图形成与孤子 · 物理学 2019-01-09 A. M. Kamchatnov

We discuss the problem of breaking of a nonlinear wave in the process of its propagation into a medium at rest. It is supposed that the profile of the wave is described at the breaking moment by the function $(-x)^{1/n}$ ($x<0$, positive…

斑图形成与孤子 · 物理学 2019-02-20 A. M. Kamchatnov

In this paper, we study the evolution of intensive light pulses in nonlinear single-mode fibers. The dynamics of light in such fibers is described by the nonlinear Schr\"odinger equation with the Raman term, due to stimulated Raman…

斑图形成与孤子 · 物理学 2021-11-08 S. K. Ivanov , A. M. Kamchatnov

We introduce and systematically investigate the generation of dispersive shock waves, which arise naturally in physical settings such as optical waveguide arrays and superfluids confined within optical lattices. The underlying physically…

斑图形成与孤子 · 物理学 2026-04-13 Su Yang , Sathyanarayanan Chandramouli , Panayotis G. Kevrekidis
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