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Coherent, optically dressed media composed of two-level molecular systems without inversion symmetry are considered as all-optically tunable sources of coherent radiation in the microwave domain. A theoretical model and a numerical toolbox…

Quantum Physics · Physics 2020-12-08 Piotr Gładysz , Piotr Wcisło , Karolina Słowik

We propose a novel multi-component system of nonlinear equations that generalizes the short pulse (SP) equation describing the propagation of ultra-short pulses in optical fibers. By means of the bilinear formalism combined with a hodograph…

Exactly Solvable and Integrable Systems · Physics 2015-06-03 Yoshimasa Matsuno

In this letter we investigate the propagation of nonlinear pulses along the free surface of flexible metamaterials based on the rotating squares mechanism. While these metamaterials have previously been shown to support the propagation of…

Applied Physics · Physics 2023-07-19 Bolei Deng , Hang Shu , Jian Li , Chengyang Mo , Jordan R. Raney , Vincent Tournat , Katia Bertoldi

We report a new effect of a cascade replication of dissipative solitons from a single one. It is discussed in the framework of a common model based on the one-dimensional cubic-quintic complex Ginzburg-Landau equation in which an additional…

Pattern Formation and Solitons · Physics 2017-07-12 Bogdan A. Kochetov , Vladimir R. Tuz

The analytical theory of chirped dissipative soliton solutions of nonlinear complex Ginzburg-Landau equation is exposed. Obtained approximate solutions are easily traceable within an extremely broad range of the equation parameters and…

Optics · Physics 2010-09-07 Vladimir L. Kalashnikov

We report the observation of nonexponential decay of pulsed microwave transmission through quasi-one-dimensional random dielectric media that signals the breakdown of the diffusion model of transport for temporally coherent extended waves.…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. A. Chabanov , Z. Q. Zhang , A. Z. Genack

We develop a general method allowing one to construct the consistent theory of light pulse propagation through an atomic medium in arbitrary nonlinear regime with respect to the field strength, taking into account the light polarization,…

Optics · Physics 2015-06-16 V. I. Yudin , M. Yu. Basalaev , D. V. Brazhnikov , A. V. Taichenachev

We investigate via Molecular Dynamics simulations the propagation of solitons in a two-dimensional many-body system characterized by Yukawa interaction potential. The solitons are created in an equilibrated system by the application of…

Plasma Physics · Physics 2019-10-30 Z. Donko , P. Hartmann , R. U. Masheyeva , K. N. Dzhumagulova

We consider the one-dimensional propagation of electromagnetic waves in a weakly nonlinear and low-contrast spatially inhomogeneous medium with no energy dissipation. We focus on the case of a periodic medium, in which dispersion enters…

Pattern Formation and Solitons · Physics 2010-11-19 Gideon Simpson , Michael I. Weinstein

This is a brief review of the main results of our recent studies of the nonlinear evolution of the small-scale MHD dynamo in the high-Prandtl-number regime and of the structure of the resulting saturated state of the isotropic homogeneous…

Astrophysics · Physics 2007-05-23 A. A. Schekochihin , S. C. Cowley , G. W. Hammett , J. L. Maron , J. C. McWilliams

In this work, we present a detailed study of the dynamics and stability of fundamental spatiotemporal solitons emerging in multimode waveguides with a parabolic transverse profile of the linear refractive index. Pulsed beam propagation in…

Pattern Formation and Solitons · Physics 2023-08-16 Pedro Parra-Rivas , Yifan Sun , Stefan Wabnitz

Propagation of few-cycle laser pulses in optical fiber is investigated beyond the unidirectional approximation. Considered medium parameters include dispersion, Kerr and Raman nonlinearities. High intensities of ~10^10 kW/cm^2 lead to…

Optics · Physics 2017-01-24 Leonid Konev , Yuri Shpolyanskiy

The diffusion of uni-directional magnetic fields by two dimensional turbulent flows in a weakly ionized gas is studied. The fields here are orthogonal to the plane of fluid motion. This simple model arises in the context of the decay of the…

Astrophysics · Physics 2009-11-07 Eun-jin Kim , P. H. Diamond

We reveal that nonlocality can provide a simple physical mechanism for stabilization of multi-hump optical solitons, and present the first example of stable rotating dipole solitons and soliton spiraling, known to be unstable in all types…

Pattern Formation and Solitons · Physics 2013-09-06 Servando Lopez-Aguayo , Anton S. Desyatnikov , Yuri S. Kivshar , Stefan Skupin , Wieslaw Krolikowski , Ole Bang

In recent experiments, localized and stationary pulses have been generated in second-order nonlinear processes with femtosecond pulses, whose asymptotic features relate with those of nondiffracting and nondispersing polychromatic Bessel…

Optics · Physics 2009-11-10 Miguel A. Porras , Paolo Di Trapani

We present optical fiber experiments investigating the perturbed, non-integrable evolution of soliton gases (SGs) under weak linear damping and gain. By measuring the amplitude and phase of the optical field in a recirculating loop, we…

Pattern Formation and Solitons · Physics 2025-03-18 Loic Fache , Francois Copie , Pierre Suret , Stéphane Randoux

We consider the coupled propagation of an optical field and its second harmonic in a quadratic nonlinear medium governed by a coupled system of Schrodinger equations. We prove the existence of ring-profiled optical vortex solitons appearing…

Mathematical Physics · Physics 2025-06-23 Luciano Medina

We systematically investigate the existence, stability, and propagation dynamics of multipole-mode (necklace-shaped) solitons in the two-dimensional model of an optical medium with the defocusing saturable nonlinearity and an annular…

Pattern Formation and Solitons · Physics 2025-11-25 Xiaoli Lang , Boris A. Malomed , Liangwei Dong

The modes of nonlinear propagation of the two-component electromagnetic pulses through optically uniaxial media containing resonant particles are studied. The features of their manifestation in the "dense" media and in the media with…

Pattern Formation and Solitons · Physics 2015-06-26 S. V. Sazonov , N. V. Ustinov

We report a modulational instability (MI) analysis of a mathematical model appropriate for ultrashort pulses in cascaded quadratic-cubic nonlinear media beyond the so-called slowly varying envelope approximation. Theoretically predicted MI…

Classical Physics · Physics 2012-02-07 Amarendra K. Sarma , Parvendra Kumar