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We describe the evolution of a paraxial electromagnetic wave characterizing by a non-uniform polarization distribution with singularities and propagating in a weakly anisotropic medium. Our approach is based on the Stokes vector evolution…

Optics · Physics 2009-11-13 K. Yu. Bliokh , A. Niv , V. Kleiner , E. Hasman

The evolution of thermomagnetic perturbations in the resistive state of superconductors is considered. A qualitative pattern of the formation and further development of nonlinear stationary structures that describe the final stage of…

Superconductivity · Physics 2007-05-23 Nizam A. Taylanov

In this work, we present a computational analysis of the planar wave propagation behavior of a one-dimensional periodic multi-stable cellular material. Wave propagation in these materials is interesting because they combine the ability of…

Applied Physics · Physics 2019-11-19 Camilo Valencia , David Restrepo , Nilesh D. mankame , Pablo D. Zavattieri , Juan Gomez

Shock wave theory was first studied for gas dynamics, for which shocks appear as compression waves. A shock wave is characterized as a sharp transition, even discontinuity in the flow. In fact, shocks appear in many different physical…

Analysis of PDEs · Mathematics 2007-05-23 Tai-Ping Liu

Static or frozen disorder, characterised by spatial heterogeneities, influences diverse complex systems, encompassing many-body systems, equilibrium and nonequilibrium states of matter, intricate network topologies, biological systems, and…

Disordered Systems and Neural Networks · Physics 2025-03-24 M. Ahumada , L. Trujillo , J. F. Marín

In this study, the in-plane Bloch wave propagation and bandgaps in a finitely stretched square lattice were investigated numerically and theoretically. To be specific, the elastic band diagram was calculated for an infinite periodic…

Soft Condensed Matter · Physics 2021-06-09 Shiheng Zhao , Tao Feng Han Zhang , Yang Gao , Zheng Chang

We focus on solitary waves generated in arrays of lightly contacting spherical elastic granules by shock forces of steep rise and slow decay durations, and establish a priori: (i) whether the peak value of the resulting solitary wave would…

Pattern Formation and Solitons · Physics 2016-05-25 M. Arif Hasan , Sia Nemat-Nasser

Several cases of the explanation of the phenomenon of standing waves in strings, there are few experimental measurement tools when demonstrating this phenomenon in a classroom, it is for this reason that we have implemented different forms…

Physics Education · Physics 2019-09-30 K. L. Cristiano , D. A. Triana , R. Ortiz , A. F. Estupiñán

The spatiotemporal propagation behavior of a solitary wave is investigated on a Fermi-Pasta-Ulam ring. We observe the emergence of a cnoidal wave excited by the solitary wave. The cnoidal wave may coexist with the solitary wave for a long…

Pattern Formation and Solitons · Physics 2013-10-14 Zongqiang Yuan , Jun Wang , Min Chu , Guodong Xia , Zhigang Zheng

Dispersive shock waves (DSWs) are expanding nonlinear wave trains that arise when dispersion regularizes a steepening front, a phenomenon observed in fluids, plasmas, optics, and superfluids. Here we report the first experimental…

Accelerator Physics · Physics 2025-10-23 H. McCright , I. G. Abel , I. Haber , P. G. O'Shea , B. L. Beaudoin

We analyze the distortion of wind-generated near-inertial waves by steady and unsteady barotropic quasi-geostrophic eddies, with a focus on the evolution of the horizontal wavevector $\boldsymbol{k}$ under the effects of mesoscale strain…

Atmospheric and Oceanic Physics · Physics 2020-12-30 Olivier Asselin , Leif N. Thomas , William R. Young , Luc Rainville

We study the behavior of perturbations in a compressible one-dimensional inviscid gas with an ambient state consisting of constant pressure and periodically-varying density. We show through asymptotic analysis that long-wavelength…

Analysis of PDEs · Mathematics 2025-08-27 David I. Ketcheson , Giovanni Russo

We study the nonlinear propagation of electrostatic wave packets in a collisional plasma composed of strongly coupled ions and relativistically degenerate electrons. The equilibrium of ions is maintained by an effective temperature…

Plasma Physics · Physics 2012-02-24 A. P. Misra , P. K. Shukla

We investigate strongly nonlinear stationary gravity waves which experience refraction due to a thin vertical shear layer of horizontal background wind. The velocity amplitude of the waves is of the same order of magnitude as the background…

Fluid Dynamics · Physics 2023-09-14 Mark Schlutow , Georg S. Völker

The motion of a thin layer of granular material on a plate undergoing sinusoidal vibrations is considered. We develop equations of motion for the local thickness and the horizontal velocity of the layer. The driving comes from the violent…

patt-sol · Physics 2009-10-31 Jens Eggers , Hermann Riecke

An experimental analysis of the vortex-induced vibrations of a hanging string with variable tension along its length is presented in this paper. It is shown that standing waves develop along the hanging string. The evolution of the Strouhal…

Elastic active matter or active solid consists of self-propelled units embedded in an elastic matrix. Active solid resists deformation; the shape-preserving property and the intrinsic non-equilibrium nature make active solids a superior…

Soft Condensed Matter · Physics 2023-02-01 Haoran Xu , Yulu Huang , Rui Zhang , Yilin Wu

We study the propagation of small amplitude waves superimposed on a large static deformation in a nonlinear viscoelastic material of differential type. We use bulk waves and surface waves to address the questions of dissipation and of…

Biological Physics · Physics 2008-12-09 Michel Destrade , Ray W. Ogden , Giuseppe Saccomandi

The transition from linear to nonlinear dynamical elasticity in rocks is of considerable interest in seismic wave propagation as well as in understanding the basic dynamical processes in consolidated granular materials. We have carried out…

Transition waves in mechanical metamaterials manifest themselves as propagating interfaces between different stable states in lattices composed of arrays of coupled, intrinsically bistable elements. Here, we show experimentally and…

Applied Physics · Physics 2026-03-11 Eleonore Duval , Giada Risso , Alex Zhang , Vincent Tournat , Katia Bertoldi