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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…

Mathematical Physics · Physics 2026-01-06 Hua-Ying Ren , Rui Guo , Jian-Wen Zhang

We experimentally investigate the impulsive shock propagation caused by an impact into vertically oriented 3D granular packings under gravity. We observe a crossover of wave propagation, from sound excitation at low impact to shock front…

Soft Condensed Matter · Physics 2025-09-18 S. van den Wildenberg , X. Nguyen , A. Tourin , X. Jia

Waves propagating through weakly disordered smooth linear media undergo a universal phenomenon called branched flow. Branched flow has been observed and studied experimentally in various systems by considering coherent waves. Recent…

Analysis of PDEs · Mathematics 2025-04-09 Josselin Garnier , Antonio Picozzi , Theo Torres

Undular bores, or dispersive shock waves, are non-stationary waves propagating as oscillatory transitions between two basic states, in which the oscillatory structure gradually expands and grows in amplitude with distance travelled. We…

Pattern Formation and Solitons · Physics 2021-10-27 C. G. Hooper , P. D. Ruiz , J. M. Huntley , K. R. Khusnutdinova

We provide a complete analysis, from theory to experiment, of the spontaneous emergence of a discretized conical wave of X-type (i.e., a localized 2D+1 space-time wavepacket) when an intense ultrashort pulse nonlinearly propagates in a…

When two plasmas collide, their interaction can be mediated by collisionless plasma instabilities or binary collisions between particles of each shell. By comparing the maximum growth rate of the collisionless instabilities with the…

Plasma Physics · Physics 2018-07-18 Antoine Bret , Asaf Pe'er

An effect of polarization-mode dispersion, nonlinearity and random variation of dispersion along an optical fiber on a pulse propagation in a randomly birefringent dispersion-shifted optical fiber with zero average dispersion is studied. An…

Chaotic Dynamics · Physics 2009-11-10 Pavel M. Lushnikov

We study generation of two-dimensional dispersive shock waves and oblique dark solitons upon interaction of tilted plane waves with negative refractive index defects embedded into defocusing material with linear gain and two-photon…

Optics · Physics 2015-06-12 Yaroslav V. Kartashov , Anatoly M. Kamchatnov

The nonlinear propagation of optical pulses in dielectric waveguides and resonators provides a laboratory to investigate a wide range of remarkable interactions. Many of the resulting phenomena find applications in optical systems. One…

Optics · Physics 2016-06-06 Qi-Fan Yang , Xu Yi , Ki Youl Yang , Kerry Vahala

Collisionless shocks are ubiquitous in astrophysics and in the lab. Recent numerical simulations and experiments have shown how they can arise from the encounter of two collisionless plasma shells. When the shells interpenetrate, the…

High Energy Astrophysical Phenomena · Physics 2015-06-15 A. Bret , A. Stockem , F. Fiuza , C. Ruyer , L. Gremillet , R. Narayan , L. O. Silva

The Weibel/filamentation instability is known to play a key role in the physics of weakly magnetized collisionless shock waves. From the point of view of high energy astrophysics, this instability also plays a crucial role because its…

Plasma Physics · Physics 2015-05-20 Martin Lemoine

The evolution of surface gravity waves is driven by nonlinear interactions that trigger an energy cascade similarly to the one observed in hydrodynamic turbulence. This process, known as wave turbulence, has been found to display anomalous…

Geometrically decorated two-dimensional (2D) discrete surfaces can be more effective than conventional smooth reflectors in managing wave radiation. Constructive non-specular wave scattering permits the scattering angle to be other than…

Rotating spiral waves with a central core composed of phase-randomized oscillators can arise in reaction-diffusion systems if some of the chemical components involved are diffusion-free. This peculiar phenomenon is demonstrated for a…

Pattern Formation and Solitons · Physics 2009-11-10 Shin-ichiro Shima , Yoshiki Kuramoto

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…

Pattern Formation and Solitons · Physics 2008-02-09 G. A. El , A. Gammal , E. G. Khamis , R. A. Kraenkel , A. M. Kamchatnov

We consider interference effects within the linear description of the scattering of two-dimensional microcavity polaritons by an obstacle. The polariton wave may exhibit phase dislocations created by the interference of the incident and the…

Quantum Gases · Physics 2015-03-04 A. M. Kamchatnov , N. Pavloff

A major attraction of diffusive shock acceleration is the prediction of power-law spectra for energetic particle distributions. However, this property is not fundamental to the theory. We demonstrate that for planar shocks with an oblique…

High Energy Astrophysical Phenomena · Physics 2025-11-04 Asma Shirin T , Brian Reville , Nils W. Schween , Florian Schulze , John G. Kirk

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…

Optics · Physics 2015-06-11 N. Ghofraniha , S. Gentilini , V. Folli , E. DelRe , C. Conti

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…

Pattern Formation and Solitons · Physics 2020-09-23 Sergey K. Ivanov , Jules-Elemir Suchorski , Anatoly M. Kamchatnov , Mathieu Isoard , Nicolas Pavloff

Dispersive shock waves dominate wave-breaking phenomena in Hamiltonian systems. In the absence of loss, these highly irregular and disordered waves are potentially reversible. However, no experimental evidence has been given about the…