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Related papers: Dynamics of broadband dispersive Alfven waves

200 papers

Recently, observations from laboratory experiments have revealed amplitude modulation of whistlers by low-frequency perturbations. We here present theoretical and simulation studies of amplitude modulated whistler solitary waves…

Plasma Physics · Physics 2007-05-23 Bengt Eliasson , Ioannis Kourakis , Padma Kant Shukla

Nonlinear self-modulation of the dust acoustic waves is studied, in the presence of non-thermal (non-Maxwellian) ion and electron populations. By employing a multiple scale technique, a nonlinear Schrodinger-type equation (NLSE) is derived…

Plasma Physics · Physics 2015-06-26 Ioannis Kourakis , P. K. Shukla

A dynamical approach, rather than the usual statistical approach, is taken to explore the physical mechanisms underlying the nonlinear transfer of energy, the damping of the turbulent fluctuations, and the development of coherent structures…

Solar and Stellar Astrophysics · Physics 2015-08-19 G. G. Howes

A theoretical investigation has been made to study the modulation stability/instability of three-dimensional dust-ion-acoustic wave packets in the warm magnetized complex plasma system in the presence of nonthermal distributed electrons and…

Plasma Physics · Physics 2023-06-12 A. Parvez , A. Mannan , M. N. Haque , A. A. Mamun

A two-dimensional generalized cubic nonlinear Schr\"odinger equation with complex coefficients for the group dispersion and nonlinear terms is used to investigate the evolution of a finite-amplitude localized initial perturbation. It is…

Plasma Physics · Physics 2015-05-27 Dian Zhao , M. Y. Yu

A new mechanism for the enhanced generation of compressible fluctuations by Alfven waves is presented. A strongly nonlinear regime of Alfven wave phase-mixing is numerically simulated in a one-dimensionally inhomogeneous plasma of finite…

Astrophysics · Physics 2007-05-23 V. M. Nakariakov , D. Tsiklauri , T. D. Arber

The existence of ``dispersion-managed solitons'', i.e., stable pulsating solitary-wave solutions to the nonlinear Schr\"{o}dinger equation with periodically modulated and sign-variable dispersion is now well known in nonlinear optics. Our…

Exactly Solvable and Integrable Systems · Physics 2009-11-07 Simon Clarke , Boris A. Malomed , Roger Grimshaw

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…

Pattern Formation and Solitons · Physics 2015-06-26 A. M. Kamchatnov , A. Spire , V. V. Konotop

We investigate, using a multi-fluid approach, the main properties of standing ion-acoustic modes driven by nonlinear standing Alfv\'en waves. The standing character of the Alfv\'enic pump is because we study the superposition of two…

Solar and Stellar Astrophysics · Physics 2022-04-20 Jaume Terradas , Adolfo F. - Viñas , Jaime A. Araneda

Inhomogeneous plasmas filaments instabilities are investigated by using the techniques of classical differential geometry of curves where Frenet torsion and curvature describe completely the motion of curves. In our case the Frenet frame…

Mathematical Physics · Physics 2007-05-23 Garcia de Andrade

We consider a system of two discrete nonlinear Schr\"{o}dinger equations, coupled by nonlinear and linear terms. For various physically relevant cases, we derive a modulational instability criterion for plane-wave solutions. We also find…

Soft Condensed Matter · Physics 2015-06-24 Z. Rapti , A. Trombettoni , P. G. Kevrekidis , D. J. Frantzeskakis , Boris A. Malomed , A. R. Bishop

Driven granular media constitute model systems in out-of-equilibrium statistical physics. By assimilating the motions of granular particles to those of atoms, by analogy, one can obtain macroscopic equivalent of phase transitions. Here, we…

Soft Condensed Matter · Physics 2022-06-29 Michael Berhanu , Simon Merminod , Gustavo Castillo , Eric Falcon

A generalized plasma model having warm ions, iso-thermal electrons, super-thermal electrons and positrons is considered to theoretically investigate the modulational instability (MI) of ion-acoustic waves (IAWs). A standard nonlinear…

Plasma Physics · Physics 2020-06-04 S. Banik , N. M. Heera , T. Yeashna , M. R. Hassan , R. K. Shikha , N. A. Chowdhury , A. Mannan , A. A. Mamun

Dynamics of interacting cold atomic gases have recently become a focus of both experimental and theoretical studies. Often cold atom systems show hydrodynamic behavior and support the propagation of nonlinear dispersive waves. Although this…

Quantum Gases · Physics 2012-09-19 Manas Kulkarni , Alexander G. Abanov

Our study investigates the properties of Alfv\'en waves in partially ionised solar plasmas in the presence of steady, field-aligned, flows of charged and neutral particles. Our work aims to understand how such flows modify wave propagation…

Solar and Stellar Astrophysics · Physics 2025-11-17 Nada F. Alshehri , Istvan Ballai , Viktor Fedun , Gary Verth

In this paper we study the dispersive properties related to a model of peridynamic evolution, governed by a non local initial value problem, in the cases of two and three spatial dimensions. The features of the wave propagation…

Analysis of PDEs · Mathematics 2023-03-21 Alessandro Coclite , Giuseppe Maria Coclite , Giuseppe Fanizza , Francesco Maddalena

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

This work considers the variable-exponent fractional diffusion-wave equation, which describes, e.g. the propagation of mechanical diffusive waves in viscoelastic media with varying material properties. Rigorous numerical analysis for this…

Numerical Analysis · Mathematics 2025-09-29 Wenlin Qiu , Xiangcheng Zheng

We present an one-dimensional numerical study of Alfven waves propagating along a radial magnetic field. Neglecting losses, any spherical Alfven wave, no matter how small its initial amplitude is, becomes nonlinear at sufficiently large…

Astrophysics · Physics 2009-10-30 Ulf Torkelsson , G. Christopher Boynton

The nonlinear Schroedinger equation in the presence of disorder is considered. The dynamics of an initially localized wave packet is studied. A subdiffusive spreading of the wave packet is explained in the framework of a continuous time…

Statistical Mechanics · Physics 2015-05-14 Alexander Iomin
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