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The propagation of nonlinear waves in a lattice of repelling particles is studied theoretically and experimentally. A simple experimental setup is proposed, consisting in an array of coupled magnetic dipoles. By driving harmonically the…

Pattern Formation and Solitons · Physics 2017-07-19 A. Mehrem , N. Jiménez , L. Salmerón-Contreras , X. García-Andrés , L. M. García-Raffi , R. Picó , V. Sánchez-Morcillo

The purpose of this review is to revisit recent results in the literature where quantum plasmas with arbitrary degeneracy degree are considered. This is different from a frequent approach, where completely degeneracy is assumed in dense…

Plasma Physics · Physics 2022-03-17 Fernando Haas , Shahzad Mahmood

An intense X wave propagating perpendicularly to dc magnetic field is unstable with respect to a parametric decay into an electron Bernstein wave and a lower-hybrid wave. A modified theory of this effect is proposed that extends to the…

Plasma Physics · Physics 2017-04-26 I. Y. Dodin , A. V. Arefiev

In this paper we study the propagation of weakly nonlinear surface waves on a plasma-vacuum interface. In the plasma region we consider the equations of incompressible magnetohydrodynamics, while in vacuum the magnetic and electric fields…

Analysis of PDEs · Mathematics 2015-12-31 Paolo Secchi

It is shown that an undesirable curvature of the wave front of two-dimensional nonlinear wake wave excited in uniform plasma by a relativistic charged bunch or laser pulse may be compensated by radial change of the equilibrium plasma…

Plasma Physics · Physics 2009-11-06 A. G. Khachatryan

Two questions related to elastic motions are raised and addressed. First: in which theoretical framework can the equations of motion be written for an elastic half-space put into uniform rotation? It is seen that nonlinear finite elasticity…

Soft Condensed Matter · Physics 2013-06-04 Michel Destrade , Giuseppe Saccomandi

In a recent one-dimensional numerical fluid simulation study [Saxena et al., Phys. Plasmas 13,032309 (2006)], it was found that an instability is associated with a special class of one-dimensional nonlinear solutions for modulated light…

Plasma Physics · Physics 2008-09-12 Vikrant Saxena , Amita Das , Sudip Sengupta , Predhiman Kaw , Abhijit Sen

Straightforward method for the derivation of linearized version of stochastic stability analysis of the nonlinear differential equations is presented. Methods for the study of large time behavior of the moments are exposed. These general…

Mathematical Physics · Physics 2012-12-07 Gyorgy Steinbrecher , Xavier Garbet

In this work, an efficient approximation scheme has been proposed for getting accurate approximate solution of nonlinear partial differential equations with constant or variable coefficients satisfying initial conditions in a series of…

Analysis of PDEs · Mathematics 2020-09-04 Prakash Kumar Das , M. M. Panja

This paper presents an analytical formulation for correcting the diffraction associated to the second harmonic of an acoustic wave, more compact than that usually used. This new formulation, resulting from an approximation of the correction…

Classical Physics · Physics 2009-04-08 Laurent Alliès , D. Kourtiche , M. Nadi

Properties of modified plasma waves in non-linear electrodynamics are investigated. We consider a cold, uniform, collisionless, and magnetized plasma model. Initially, we also assume small amplitude waves and the non-relativistic…

Plasma Physics · Physics 2023-06-27 Leonardo P. R. Ospedal , Fernando Haas

In this article, we use the general theory derived in the companion paper [M. Tacu and D. B\'enisti, Phys. Plasmas (2021)] in order to address several long-standing issues regarding nonlinear electron plasma waves (EPW's). First, we discuss…

Plasma Physics · Physics 2022-05-25 D. Bénisti , D. F. G. Minenna , M. Tacu , A. Debayle , L. Gremillet

The maximum sustainable amplitude, so-called wave breaking limit, of a nonlinear plasma wave in arbitrary mass ratio warm plasmas is obtained in the non-relativistic regime. Using the method of Sagdeev potential a general wave breaking…

Plasma Physics · Physics 2020-08-20 Ashish Adak , Nidhi Rathee , Sudip Sengupta

This paper presents the numerical verification of an asymptotic analytical solution for the nonlinear interaction between counterpropagating Alfven waves, the fundamental building block of astrophysical plasma turbulence. The analytical…

Solar and Stellar Astrophysics · Physics 2015-06-16 Kevin D. Nielson , Gregory G. Howes , William Dorland

The paper describes the straightforward method of calculation of anomalous absorption of ordinary wave due to transformation into plasma wave in the upper-hybrid resonance region of magnetized plasma with random irregularities. The method…

Plasma Physics · Physics 2007-05-23 A. G. Bronin , S. M. Grach , G. A. Zhbankov , N. A. Zabotin

The interaction of a fast magnetoacoustic wave with a magnetic null point is studied in the context of the sympathetic flare phenomenon. Attention is paid to steepening the wave caused by the finite-amplitude effects in a non-uniform plasma…

Solar and Stellar Astrophysics · Physics 2026-05-07 Yu Zhong , Valery M. Nakariakov , Mariana Cécere , Andrea Costa

The nonlinear amplitude modulation of known electrostatic plasma modes is examined in a generic manner, by applying a collisionless fluid model. Both cold (zero-temperature) and warm fluid descriptions are discussed and the results are…

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

To better understanding the principal features of collisionless damping/growing plasma waves we have implemented a demonstrative calculation for the simplest cases of electron waves in two-stream plasmas with the delta-function type…

Plasma Physics · Physics 2007-08-07 V. N. Soshnikov

Nonlinear acoustic evolution is often discussed in the context of wave-steepening that leads to shock formation, and is of special interest in applications where the shock continues to strengthen due to a narrowing of its channel or the…

Fluid Dynamics · Physics 2023-12-27 Tamar Faran , Christopher D. Matzner , Eliot Quataert

A mechanism for asymmetric (nonreciprocal) wave transmission is presented. As a reference system, we consider a layered nonlinear, non mirror-symmetric model described by the one-dimensional Discrete Nonlinear Schreodinger equation with…

Pattern Formation and Solitons · Physics 2012-04-12 Stefano Lepri , Giulio Casati