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We investigate the impact of nonlocality, owing to diffusive behavior, on transverse instabilities of a dark stripe propagating in a defocusing cubic medium. The nonlocal response turns out to have a strongly stabilizing effect both in the…

Optics · Physics 2012-02-02 Andrea Armaroli , Andrea Fratalocchi , Stefano Trillo

In this work, we study the propagation of solitons in lossy optical fibers. The main objective of this work is to study the loss of energy of the soliton wave during propagation and then to evaluate the impact of this loss on the…

We show that excitability is generic in systems displaying dissipative solitons when spatial inhomogeneities and drift are present. Thus, dissipative solitons in systems which do not have oscillatory states, such as the prototypical…

Pattern Formation and Solitons · Physics 2013-02-15 P. Parra-Rivas D. Gomila , M. A. Matias , P. Colet

We present a significantly different reflection process from an optically thin flat metallic or dielectric layer and propose a strikingly simple method to form approximately unipolar half-cycle optical pulses via reflection of a…

An effort was conducted to numerically determine, using the Nonlinear Schrodinger Split-Step Fourier method, if using cross phase modulation could cause temporal soliton pulse propagation in a silicon slow-light photonic crystal waveguide…

Optics · Physics 2016-04-27 Matthew Marko , Xiujian Li , Jiangjun Zheng

We investigate the existence and propagation properties of all possible types of envelope soliton pulses in a birefringent optical fiber wherein the light propagation is governed by two coupled nonlinear Schrodinger equations with coherent…

Pattern Formation and Solitons · Physics 2024-01-31 Houria Triki , Vladimir I. Kruglov

The nonlinear pulse propagation in an optical fibers with varying parameters is investigated. The capture of moving in the frequency domain femtosecond colored soliton by a dispersive trap formed in an amplifying fiber makes it possible to…

Optics · Physics 2015-06-26 Vladimir N. Serkin , Akira Hasegawa

Embedded solitons are exceptional modes in nonlinear-wave systems with the propagation constant falling in the system's propagation band. An especially challenging topic is seeking for such modes in nonlinear dynamical lattices (discrete…

Pattern Formation and Solitons · Physics 2021-02-17 Hadi Susanto , Boris A. Malomed

In this study, we investigate the existence and stability of in-phase and out-of-phase dissipative solitons in a dual-waveguide lattice with linear localized gain and nonlinear losses under both focusing and defocusing nonlinearities.…

Optics · Physics 2024-09-27 Zhenfen Huang , Changming Huang , Chunyan Li , Pengcheng Liu , Liangwei Dong

Propagation of ultrashort optical pulses in a dense resonant medium is considered in the semiclassical limit. In our analysis, we place emphasis on several main points. First, we study transformations of spectra in the process of pulse…

Optics · Physics 2011-07-20 Denis Novitsky

Nonlinear effects in pulse propagation through a medium consisting of four-level double-$\Lambda$-type systems are studied theoretically. We apply three continous-wave driving fields and a pulsed probe field such that they form a closed…

Quantum Physics · Physics 2009-11-13 Robert Fleischhaker , Jörg Evers

In this paper the coupled Maxwell-Bloch equations which describe the propagation of two optical pulses in an optical medium with coherent three-level atoms are studied by Darboux transformation. The general nth-order rogue wave solution…

Exactly Solvable and Integrable Systems · Physics 2020-02-12 Xin Wang , Lei Wang , Chong Liu

Maxwell-Bloch system describing the resonant propagation of electromagnetic pulses in both two-level media with degeneracy in angle moment projection and three-level media with equal oscillator forces is considered. The inhomogeneous…

Quantum Physics · Physics 2007-05-23 S. B. Leble , N. V. Ustinov

In the framework of the nonlinear $\Lambda$-model we investigate propagation of solitons in atomic vapors and Bose-Einstein condensates. We show how the complicated nonlinear interplay between fast solitons and slow-light solitons in the…

Quantum Physics · Physics 2009-11-11 A. V. Rybin , I. P. Vadeiko , A. R. Bishop

We show that propagation of ultrashort (few-cycle) pulses in nonlinear Drude metamaterials with both electric and magnetic Kerr nonlinearities is described by coupled generalized Short Pulse Equations. The resulting system of equations…

Optics · Physics 2016-01-01 Monika E. Pietrzyk , Igor V. Kanattsikov

We consider a long fiber-optical link consisting of alternating dispersive and nonlinear segments, i.e., a split-step model (SSM), in which the dispersion and nonlinearity are completely separated. Passage of a soliton through one cell of…

Pattern Formation and Solitons · Physics 2007-05-23 Rodislav Driben , Boris A. Malomed

I derive a temporally propagated uni-directional optical pulse equation valid in the few cycle limit. Temporal propagation is advantageous because it naturally preserves causality, unlike the competing spatially propagated models. The exact…

Optics · Physics 2018-06-04 Paul Kinsler

This paper probes the dispersive shock waves (DSWs) theory in nonlinear optical systems through Whitham modulation theory for the high-order Chen-Lee-Liu (HOCLL) equation. We systematically derived the one-phase periodic solutions and the…

Mathematical Physics · Physics 2026-01-06 Hua-Ying Ren , Rui Guo , Jian-Wen Zhang

Using numerical simulations, we study propagation of ultrashort light pulses in an inhomogeneously broadened two-level medium. There are two main issues in our study. The first one concerns the transient process of self-induced transparency…

Optics · Physics 2015-05-05 Denis Novitsky

In this paper, we employ a combination of analytical and numerical techniques to investigate the dynamics of lattice envelope vector soliton solutions propagating within a one-dimensional chain of flexible mechanical metamaterial. To model…

Pattern Formation and Solitons · Physics 2024-06-17 Antoine Demiquel , Vassos Achilleos , Georgios Theocharis , Vincent Tournat