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The paper studies the interaction of a longitudinal wave with transverse waves in general isotropic and unconstrained hyperelastic materials, including the possibility of dissipation. The dissipative term chosen is similar to the classical…

Soft Condensed Matter · Physics 2013-04-25 Michel Destrade , Giuseppe Saccomandi

Although extreme or freak waves are repeatedly measured in the oceans, their origin is largely unknown. The interaction of different water waves is seen as one reason for their emergence. One way to consider nonlinear waves in deep water is…

Pattern Formation and Solitons · Physics 2020-08-28 Hendrik Fischer , Marten Hollm , Leo Dostal

We investigate analytically the linearized water wave radiation problem for an oscillating submerged point source in an inviscid shear flow with a free surface. A constant depth is taken into account and the shear flow increases linearly…

Fluid Dynamics · Physics 2016-06-29 Simen Å. Ellingsen , Peder A. Tyvand

We investigate analytically the propagation of linear waves in a three-dimensional, nonmagnetic, isothermal atmosphere stratified in plane-parallel layers. The motivation is to study oscillations in the non-magnetic chromosphere and to…

Astrophysics · Physics 2007-05-23 G. Bodo , W. Kalkofen , S. Massaglia , P. Rossi

In field theory, particles are waves or excitations that propagate on the fundamental state. In experiments or cosmological models one typically wants to compute the out-of-equilibrium evolution of a given initial distribution of such…

Chaotic Dynamics · Physics 2015-04-22 Basile Gallet , Sergey Nazarenko , Bérengère Dubrulle

The wave instability acts in astrophysical plasmas to redistribute energy and momentum in the absence of frequent collisions. There are many different types of waves, and it is important to quantify the wave energy density and growth rate…

Space Physics · Physics 2023-04-05 Seong-Yeop Jeong , Clare Watt

Deep ocean acoustics, in the absence of shipping and wildlife, is driven by surface processes. Best understood is the signal generated by non-linear surface wave interactions, the Longuet-Higgins mechanism, which dominates from 0.1 to 10…

Atmospheric and Oceanic Physics · Physics 2017-03-08 Zachary Guralnik , William Farrell , John Bourdelais , Xavier Zabalgogeazcoa

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 statistical evolution of ensembles of random, weakly-interacting waves is governed by wave kinetic equations. To simplify the analysis, one frequently works with reduced differential models of the wave kinetics. However, the conditions…

Optics · Physics 2023-08-02 Jonathan Skipp , Jason Laurie , Sergey Nazarenko

A problem in nonlinear water-wave propagation on the surface of an inviscid, stationary fluid is presented. The primary surface wave, suitably initiated at some radius, is taken to be a slowly evolving nonlinear cylindrical wave (governed…

Pattern Formation and Solitons · Physics 2007-05-23 S. M. Killen , R. S. Johnson

Properties of solitary waves in pre-compressed Hertzian chains of particles are studied in the long wavelength limit using a well-known continuum model. Several main results are obtained by parameterizing the solitary waves in terms of…

Mathematical Physics · Physics 2018-10-24 Stephen C. Anco , Michelle Przedborski

We study induced (stimulated) scattering of linearly polarized, strong electromagnetic waves in pair plasmas, which is crucial for understanding the propagation of fast radio bursts (FRBs). Magnetars are the most promising progenitors of…

High Energy Astrophysical Phenomena · Physics 2026-04-20 Masanori Iwamoto , Kunihito Ioka

When an electromagnetic wave is obliquely incident on an inhomogeneous high density plasma, it will be absorbed resonantly as long as it is polarized in the plane of incidence and has an electric field component along the plasma electron…

Plasma Physics · Physics 2009-01-27 S J Pestehe , M Mohammadnejad

We study the propagation of orientation waves in a director field with rotational inertia and potential energy given by the Oseen-Frank energy functional from the continuum theory of nematic liquid crystals. There are two types of waves,…

Analysis of PDEs · Mathematics 2007-05-23 Giuseppe Ali , John K. Hunter

Lee waves generated by stratified flow over rough bottom topography in the ocean extract momentum and energy from the geostrophic flow, causing drag and enhancing turbulence and mixing in the interior ocean when they break. Inviscid linear…

Fluid Dynamics · Physics 2021-09-01 Lois Baker , Ali Mashayek

Nonlinear initial-boundary value problem on deep-water gravity waves of finite amplitude is solved approximately (up to small terms of higher order) assuming that the waves are generated by an initial disturbance to the water and the…

Atmospheric and Oceanic Physics · Physics 2014-06-09 I. M. Mindlin

We examine the general question of statistical changes experienced by ensembles of nonlinear random waves propagating in systems ruled by integrable equations. In our study that enters within the framework of integrable turbulence, we…

Optics · Physics 2016-08-24 S. Randoux , P. Walczak , M. Onorato , P. Suret

The Sagdeev-Zaslavski (SZ) equation for wave turbulence is analytically derived, both in terms of generating function and of multi-point pdf, for weakly interacting waves with initial random phases. When also initial amplitudes are random,…

Statistical Mechanics · Physics 2017-09-12 Sergio Chibbaro , Giovanni Dematteis , Christophe Josserand , Lamberto Rondoni

Nonlinear wave propagation in large extra spatial dimensions (on and above $d=2$) is investigated in the context of nonlinear electrodynamics theories that depend exclusively on the invariant…

High Energy Physics - Theory · Physics 2024-08-20 I. Soares , R. Turcati , S. B. Duarte

A general method for the derivation of asymptotic nonlinear shallow water and deep water models is presented. Starting from a general dimensionless version of the water-wave equations, we reduce the problem to a system of two equations on…

Atmospheric and Oceanic Physics · Physics 2007-10-09 David Lannes , Philippe Bonneton
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