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Statistical mechanics can provide a versatile theoretical framework for investigating the collective dynamics of weakly nonlinear waves-settings that can be utterly complex to describe otherwise. In optics, composite systems arise due to…

Optics · Physics 2024-04-04 Nikolaos K. Efremidis , Demetrios N. Christodoulides

We analyze the quantum dynamics of radiation propagating in a single mode optical fiber with dispersion, nonlinearity, and Raman coupling to thermal phonons. We start from a fundamental Hamiltonian that includes the principal known…

Quantum Physics · Physics 2007-05-23 P. D. Drummond , J. F. Corney

The nonlinear Schr\"odinger (NLS) equation is a fundamental model for the nonlinear propagation of light pulses in optical fibers. We consider an integrable generalization of the NLS equation which was first derived by means of…

Optics · Physics 2008-10-30 Jonatan Lenells

Langmuir turbulence is an archetype of wave turbulence in plasma physics. By means of 1D-1V Vlasov-Poisson simulations, we show that coherent structures, called Langmuir cavitons, are generated by the long time evolution of Langmuir weak…

Plasma Physics · Physics 2013-01-16 P. Henri , F. Califano , C. Briand , A. Mangeney

A standard version of a kinetic instability for the generation of Langmuir waves by a beam of electrons is adapted to describe the analogous instability due to a beam of neutrinos. The interaction between a Langmuir wave and a neutrino is…

Astrophysics · Physics 2009-10-30 S. J. Hardy , D. B. Melrose

The classical theory of modulation instability (MI) attributed to Bespalov-Talanov in optics and Benjamin-Feir for water waves is just a linear approximation of nonlinear effects and has limitations that have been corrected using the exact…

This paper sets out to explore the modulational (or Benjamin-Feir) instability of a monochromatic wave propagating in the presence of damping such as that induced by sea-ice on the ocean surface. The fundamental wave motion is modelled…

Fluid Dynamics · Physics 2026-03-12 Raphael Stuhlmeier , Conor Heffernan , Alberto Alberello , Emilian Părău

To analyze the joint development of two-stream and filamentation kinetic instabilities in a plasma with a particle beam, a quasilinear approach has been developed that accounts for the integral nonlinear interaction of modes arising from…

Plasma Physics · Physics 2025-04-29 A. A. Kuznetsov , Vl. V. Kocharovsky

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…

Pattern Formation and Solitons · Physics 2026-04-13 Su Yang , Sathyanarayanan Chandramouli , Panayotis G. Kevrekidis

We present a statistical description of the propagation of short pulses in long optical fibers, taking into account the Kerr and nonlocal nonlinearities on an equal footing. We use the Wigner approach on the modified nonlinear Schroedinger…

Optics · Physics 2009-11-11 P. K. Shukla , M. Marklund

The focusing Nonlinear Schr\"odinger (NLS) equation is the simplest universal model describing the modulation instability (MI) of quasi monochromatic waves in weakly nonlinear media, the main physical mechanism for the generation of rogue…

Exactly Solvable and Integrable Systems · Physics 2018-05-01 P. G. Grinevich , P. M. Santini

The generalized nonlinear Schr\"odinger equation with full dispersion (FDNLS) is considered in the semiclassical regime. The Whitham modulation equations are obtained for the FDNLS equation with general linear dispersion and a generalized,…

Pattern Formation and Solitons · Physics 2023-09-26 Patrick Sprenger , Mark A. Hoefer , Boaz Ilan

In this letter we describe a new and simple approach for modulating the electromagnetic wave propagating in a dielectric medium in the form of solitons by considering the torque developed between the induced dipoles in the medium and…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 V. Veerakumar , M. Daniel

Radio-wave scintillation observations reveal a nearly Kolmogorov spectrum of density fluctuations in the ionized interstellar medium. Although this density spectrum is suggestive of turbulence, no theory relevant to its interpretation…

Astrophysics · Physics 2009-11-06 Yoram Lithwick , Peter Goldreich

We study the nonlinear wave modulation of Langmuir waves (LWs) in a fully degenerate plasma. Using the Wigner-Moyal equation coupled to the Poisson equation and the multiple scale expansion technique, a modified nonlocal nonlinear…

Plasma Physics · Physics 2017-11-30 Amar P. Misra , Debjani Chatterjee , Gert Brodin

A refined cascade model for kinetic turbulence in weakly collisional astrophysical plasmas is presented that includes both the transition between weak and strong turbulence and the effect of nonlocal interactions on the nonlinear transfer…

Solar and Stellar Astrophysics · Physics 2015-05-30 G. G. Howes , J. M. TenBarge , W. Dorland

Nonreciprocal interactions, in which action-reaction symmetry is broken, provide a powerful route to collective dynamics that cannot be captured by equilibrium free-energy minimisation. Here, we introduce and analyse a two-species…

Statistical Mechanics · Physics 2026-05-11 Arjun R , Pratyush Prakash Patra , A. V. Anil Kumar

Statistical properties of light produced in spontaneous Raman scattering on an ensemble of molecules indicate the quantum nature of this phenomenon. The scattered light is non-classical and has high non-classical intensity correlations…

Optics · Physics 2026-05-15 Ivan V. Panyukov , Evgeny S. Andrianov

Modulational instability (MI) of ion-acoustic waves (IAWs) has been theoretically investigated in a plasma system which is composed of inertial warm adiabatic ions, isothermal positrons, and two temperature superthermal electrons. A…

Plasma Physics · Physics 2017-06-20 N. A. Chowdhury , M. M. Hasan , A. Mannan , A. A. Mamun

The dynamics of the ocean mixed layer is of central importance in determining the fluxes of momentum, heat, gases, and particulates between the ocean and the atmosphere. A prominent component of mixed layer dynamics is the appearance of a…

Fluid Dynamics · Physics 2025-09-03 Eojin Kim , Brian F. Farrell