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Using numerical modeling investigated interaction of solitary waves (solitons) of the regularized long wave equation. For reception the stable model of the nonlinear medium are used methods of the linear prediction and progressive…

Pattern Formation and Solitons · Physics 2007-05-23 Yu. A. Bunyak

Viscous linear surface waves are studied at arbitrary wavelength, layer thickness, viscosity and surface tension. We find that in shallow enough fluids no surface waves can propagate. This layer thickness is determined for some fluids,…

Fluid Dynamics · Physics 2023-03-23 Arash Ghahraman , Gyula Bene

By "surface waves" one means a special kind of waves that propagate at the interface between two different media. There exists a large variety of such waves, which are interesting on their own, and sometimes have also practical importance…

Classical Physics · Physics 2021-07-12 M. I. Dyakonov

We show a novel kind of nonlinear waves in two-dimensional photonic lattices. This waves take the form of light clusters that may fill an arbitrary number of lattice sites. We have demonstrated by numerical simulations that stable…

Pattern Formation and Solitons · Physics 2007-05-23 Jose Ramon Salgueiro , Humberto Michinel , Maria I. Rodas-Verde

The topic of interface effects in wave propagation has attracted great attention due to their theoretical significance and practical importance. In this paper we study nonlinear oscillatory systems consisting of two media separated by an…

Chaotic Dynamics · Physics 2009-11-13 Xiaohua Cui , Xiaoqing Huang , Zhoujian Cao , Hong Zhang , Gang Hu

We study nonlinear waves on a plane-wave background in an erbium-doped fiber system, which is governed by the coupled nonlinear Schr\"odinger and the Maxwell-Bloch equations. We find that prolific different types of nonlinear localized and…

Pattern Formation and Solitons · Physics 2016-01-14 Yang Ren , Zhan-Ying Yang , Chong Liu , Wen-Li Yang

We review recent progress in the dynamics of nonlinear lattice waves in heterogeneous media, which enforce complete wave localization in the linear wave equation limit, especially Anderson localization for random potentials, and Aubry-Andre…

Disordered Systems and Neural Networks · Physics 2015-06-22 T. V. Laptyeva , M. V. Ivanchenko , S. Flach

Layered media can be used as acoustic filters, allowing only waves of certain frequencies to propagate. In soft magneto-active laminates, the shear wave band gaps (i.e., the frequency intervals for which shear waves cannot propagate) can be…

Mathematical Physics · Physics 2025-08-22 Harold Berjamin , Stephan Rudykh

We study the behavior of nonlinear waves in a two-dimensional medium with density and stress relation that vary periodically in space. Efficient approximate Riemann solvers are developed for the corresponding variable-coefficient…

Numerical Analysis · Mathematics 2013-07-18 Manuel Quezada de Luna David I. Ketcheson

Guided by the planar interface of two dissimilar linear, homogeneous mediums, a Voigt surface wave arises due to an exceptional point of either of the two matrixes necessary to describe the spatial characteristics in the direction normal to…

Optics · Physics 2020-12-25 Akhlesh Lakhtakia , Tom G. Mackay , Chenzhang Zhou

Recent experiments have demonstrated that it is possible to alter the dispersion of a medium without significantly altering its absorption or refractive index and that this may be done while a wave propagates through the medium. This…

Optics · Physics 2010-06-10 Douglas H. Bradshaw , Michael D. Di Rosa

We address the stabilization of dipole solitons in nonlocal nonlinear materials by two different approaches. First, we study the properties of such solitons in thermal nonlinear media, where the refractive index landscapes induced by laser…

Pattern Formation and Solitons · Physics 2009-11-13 Fangwei Ye , Yaroslav V. Kartashov , Lluis Torner

We analytically and numerically study the nonreciprocal surface waves guided by a magnetized metasurface tube. When applying the magnetic bias perpendicularly to the cylinder axis, the conductivity profile cross-section is nonuniform, which…

Optics · Physics 2024-04-01 Yarden Mazor

We explore nonlinear transitions of polariton wavepackets, first, to a soliton and then to a standing wave polariton condensate in a multi-mode microwire system. At low polariton density we observe ballistic propagation of the multi-mode…

We study the interaction of highly nonlinear solitary waves in granular crystals, with an adjacent linear elastic medium. We investigate the effects of interface dynamics on the reflection of incident waves and on the formation of primary…

Materials Science · Physics 2015-05-20 Jinkyu Yang , Claudio Silvestro , Devvrath Khatri , Luigi De Nardo , Chiara Daraio

The phonon-polariton spectrum in dielectric medium with the third order nonlinearity was theoretically obtained. Dependence of number of polariton spectrum branches on intensity of electromagnetic field was investigated. The appearance of…

Optics · Physics 2012-05-08 I. V. Dzedolik , O. S. Karakchieva

Matter in nontrivial topological phase possesses unique properties, such as support of unidirectional edge modes on its interface. It is the existence of such modes which is responsible for the wonderful properties of a topological…

Mesoscale and Nanoscale Physics · Physics 2018-09-06 Dmitry R. Gulevich , Dmitry Yudin , Dmitry V. Skryabin , Ivan V. Iorsh , Ivan A. Shelykh

We study a surface plasmon polariton mode that is strongly confined in the transverse direction and propagates along a periodically nanostructured metal-dielectric interface. We show that the wavelength of this mode is determined by the…

Mesoscale and Nanoscale Physics · Physics 2018-03-30 E. D. Chubchev , I. A. Nechepurenko , A. V. Dorofeenko , A. P. Vinogradov , A. A. Lisyansky

The nonlinear dynamics of the free surface of an ideal dielectric liquid in a strong electric field is studied. The equation for the evolution of surface electrohydrodynamic waves is derived in the approximation of small surface-slope…

Fluid Dynamics · Physics 2009-11-10 Nikolay M. Zubarev

We demonstrate the existence of two species of stable bright solitons, fundamental and dipole ones, in one-dimensional self-defocusing nonlocal media, with the local value of nonlinearity coefficient having one or several minima and growing…

Optics · Physics 2015-06-15 Yingji He , Boris A. Malomed
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