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We address the existence, stability, and propagation dynamics of multipole-mode solitons in cubic-quintic nonlinear media with an imprinted annular (ring-shaped) potential. The interplay of the competing nonlinearity with the potential…

Optics · Physics 2023-11-06 Liangwei Dong , Mingjing Fan , Changming Huang , Boris A. Malomed

Atoms confined in a three-dimensional dissipative optical lattice oscillate inside potential wells, occasionally hopping to adjacent wells, thereby diffusing in all directions. Illumination by a weak probe beam modulates the lattice,…

Starting from the wave equation for a medium with material properties that vary periodically, we study a system of recurrence relations that describe propagation of wave packets that oscillate on the microscale (i.e. on lengths of the order…

Mathematical Physics · Physics 2021-01-26 Kirill Cherednichenko

We study the propagation of three-dimensional (3D) bipolar ultrashort electromagnetic pulses in an inhomogeneous array of semiconductor carbon nanotubes. The heterogeneity is represented by a planar region with an increased concentration of…

Tightly bound excitons in monolayer semiconductors represent a versatile platform to study two-dimensional propagation of neutral quasiparticles. Their intrinsic properties, however, can be severely obscured by spatial energy fluctuations…

We study, for times of order 1/h, solutions of Maxwell's equations in an O(h^2) modulation of an h-periodic medium. The solutions are of slowly varying amplitude type built on Bloch plane waves with wavelength of order h. We construct…

Analysis of PDEs · Mathematics 2014-01-29 Grégoire Allaire , Mariapia Palombaro , Jeffrey Rauch

The existence regimes and dynamics of soliton molecules in dispersion-managed (DM) optical fibers have been studied. Initially we develop a variational approximation (VA) for description of periodic dynamics of a soliton molecule within…

Pattern Formation and Solitons · Physics 2014-06-10 S. M. Alamoudi , U. Al Khawaja , B. B. Baizakov

Solitons are non-dispersing localized waves that occur in diverse physical settings. A variety of optical solitons have been observed, but versions that involve both spatial and temporal degrees of freedom are rare. Optical fibers designed…

Optics · Physics 2015-06-15 William H. Renninger , Frank W. Wise

We investigate the causal propagation of the pulse through dispersive media by very precise numerical solution of the coupled Maxwell-Bloch equations without any approximations about the strength of the input field. We study full nonlinear…

Quantum Physics · Physics 2009-11-10 G. S. Agarwal , Tarak Nath Dey

The propagation and controlled manipulation of strongly nonlinear, two-dimensional solitonic states in a thin, anisotropic ferromagnet are theoretically demonstrated. It has been recently proposed that spin-polarized currents in a…

Pattern Formation and Solitons · Physics 2012-07-23 M. A. Hoefer , M. Sommacal , T. J. Silva

A method is proposed for the analysis of the propagation of electromagnetic waves through a homogeneous slab of a medium with Drude-Lorentz dispersion behavior, and excited by a causal sinusoidal source. An expression of the time dependent…

Optics · Physics 2016-10-13 Mohamed Ismail , Boris Gralak

Wave-speed management of soliton pulses in a nonlinear metamaterial exhibiting a rich variety of physical effects that are important in a wide range of practical applications, is studied both theoretically and numerically. Ultrashort…

Pattern Formation and Solitons · Physics 2023-06-21 Houria Triki , Vladimir I. Kruglov

This article offers a review of results for solitons in 2D and 3D models of nonlinear dissipative media. The existence of such solitons requires to maintain two balances: between nonlinear self-focusing and linear diffraction and/or…

Pattern Formation and Solitons · Physics 2022-08-31 Boris A. Malomed

We study the propagation of quasi-discrete microwave solitons in a nonlinear left-handed coplanar waveguide coupled with split ring resonators. By considering the relevant transmission line analogue, we derive a nonlinear lattice model…

Pattern Formation and Solitons · Physics 2015-05-20 G. P. Veldes , J. Cuevas , P. G. Kevrekidis , D. J. Frantzeskakis

The in-plane acoustic behavior of non-centrosymmetric lattices having nodes endowed with mass and gyroscopic inertia and connected by massless ligaments with asymmetric elastic properties has been analysed through a discrete model and a…

Materials Science · Physics 2016-11-07 Andrea Bacigalupo , Luigi Gambarotta

In this paper, we carry out a theoretical investigation on the propagation of spatio-temporal solitons (light bullets) in the nonlinear metamaterial waveguides. Our theoretical study is based on the formulation of Lagrangian variational…

Optics · Physics 2022-03-08 A. K. Shafeeque Ali , A. Govindarajan , M. Lakshmanan

Transition metal dichalcogenides (TMDs) are an exciting family of 2D materials; a member of this family, MoS$_2$, became the first measured monolayer semiconductor. In this article, a generalized phenomenological continuum model for the…

Dispersive shock waves and solitons are fundamental nonlinear excitations in dispersive media, but dispersive shock wave studies to date have been severely constrained. Here we report on a novel dispersive hydrodynamics testbed: the…

Pattern Formation and Solitons · Physics 2016-05-04 Michelle D. Maiden , Nicholas K. Lowman , Dalton V. Anderson , Marika E. Schubert , Mark A. Hoefer

Propagation of energetic particles across the mean field direction in turbulent magnetic fields is often described as spatial diffusion. Recently, it has been suggested that initially the particles propagate systematically along meandering…

Space Physics · Physics 2017-06-22 T. Laitinen , S. Dalla , D. Marriott

Using the idealized integrable Maxwell-Bloch model, we describe random optical-pulse polarization switching along an active optical medium in the Lambda-configuration with disordered occupation numbers of its lower energy sub-level pair.…

Optics · Physics 2015-06-04 Ethan P. Atkins , Peter R. Kramer , Gregor Kovacic , Ildar R. Gabitov
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