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A model of the optical media with a spatially structured Kerr nonlinearity is introduced. The nonlinearity strength is modulated by a set of singular peaks on top of a self-focusing or defocusing uniform background. The peaks may include a…

Optics · Physics 2017-06-28 Vitaly Lutsky , Boris A. Malomed

We study families of solitons in a two-dimensional (2D) model of the light transmission through a photorefractive medium equipped with a (quasi-)one-dimensional photonic lattice. The soliton families are bounded from below by finite minimum…

Pattern Formation and Solitons · Physics 2009-11-11 Thawatchai Mayteevarunyoo , Boris A. Malomed

We consider evolution of one-dimensional nonlinear-Schr\"odinger (NLS) two-soliton complexes (breathers) with narrow repulsive or attractive potentials (barrier or well, respectively). By means of systematic simulations, we demonstrate that…

We study the stability and the dynamics of many-soliton molecules in dispersion-managed (DM) optical fibers with focus on five-and seven-soliton molecules by analytical and numerical means. In particular we calculate the binding force,…

Pattern Formation and Solitons · Physics 2017-11-22 Abdelaali Boudjemaa

Optical soliton pulses offer many applications within optical communication systems, but by definition a soliton is only subjected to second-order anomalous group-velocity-dispersion; an understanding of higher-order dispersion is necessary…

Optics · Physics 2015-06-12 Matthew Marko , Andrzej Veitia , Xiujian Li , Jiangjun Zheng , Cheewei Wong

Results of a systematic theoretical study of collisions between moving solitons in a fiber grating are presented. Various outcomes of the collision are identified, the most interesting one being merger of the solitons into a single…

Pattern Formation and Solitons · Physics 2009-11-10 William C. K. Mak , Boris A. Malomed , Pak L. Chu

The dynamics of soliton pulses in the Nonlinear Schrodinger Equation (NLSE) driven by an external Traveling wave is studied analytically and numerically. The Hamiltonian structure of the system is used to show that, in the adiabatic…

patt-sol · Physics 2009-10-31 Gil Cohen

Soliton molecules (SMs) are fundamentally important modes in nonlinear optical systems. It is a challenge to experimentally produce SMs with a required temporal separation in mode-locked fiber lasers. Here, we propose and realize an…

Optics · Physics 2022-02-09 Shilong Liu , Yudong Cui , Ebrahim Karimi , Boris A. Malomed

We consider in detail the self-trapping of a soliton from a wave pulse that passes from a defocussing region into a focussing one in a spatially inhomogeneous nonlinear waveguide, described by a nonlinear Schrodinger equation in which the…

Exactly Solvable and Integrable Systems · Physics 2015-06-26 S. R. Clarke , R. H. J. Grimshaw , Boris A. Malomed

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

This work models the propagation of an optical pulse in a 4-level atomic system in the electromagnetic induced transparency regime. By demonstrating that linear and nonlinear optical properties can be externally controlled and tailored by a…

Optics · Physics 2018-10-11 Nuno A. Silva , André L. Almeida , A. Guerreiro

In the recent years we have shown that cylindrical biological membranes such as nerve axons under physiological conditions are able to support stable electromechanical pulses called solitons. These pulses share many similarities with the…

Biological Physics · Physics 2015-06-04 Lars D. Mosgaard , Andrew D. Jackson , Thomas Heimburg

A novel phenomenon is discovered that the short-range interaction between strongly nonlocal spatial solitons depends sinusoidally on their phase difference. The two neighbouring solitons at close proximate can be inter-trapped via the…

Optics · Physics 2011-02-28 Wei Hu , Shigen Ouyang , Pingbao Yang , Qi Guo

Breathing solitons consist of a fast beating wave within a compact envelope of stable shape and velocity. They can propagate and carry information and energy in a variety of contexts such as plasmas, optical fibers and cold atoms, but…

We consider the ultrashort light pulse propagation through an inhomogeneous monomodal optical fiber exhibiting higher-order dispersive effects. Wave propagation is governed by a generalized nonlinear Schr\"{o}dinger equation with varying…

Pattern Formation and Solitons · Physics 2020-05-06 Houria Triki , Vladimir I. Kruglov

By using a powerful reductive perturbation technique, or a multiscale analysis, a generic Kadomtsev-Petviashvili evolution equation governing the propagation of femtosecond spatiotemporal optical solitons in quadratic nonlinear media beyond…

Optics · Physics 2011-04-25 Hervé Leblond , David Kremer , Dumitru Mihalache

We have studied the soliton propagation through a segment containing random point-like scatterers. In the limit of small concentration of scatterers when the mean distance between the scatterers is larger than the soliton width, a method…

Solitons, the distinct balance between nonlinearity and dispersion, provide a route toward ultrafast electromagnetic pulse shaping, high-harmonic generation, real-time image processing, and RF photonic communications. Here we newly explore…

Pattern Formation and Solitons · Physics 2024-07-16 Futai Hu , Abhinav Kumar Vinod , Wenting Wang , Hsiao-Hsuan Chin , James F. McMillan , Ziyu Zhan , Yuan Meng , Mali Gong , Chee Wei Wong

When wind blows at the surface of a liquid of sufficiently high viscosity, a wave packet of small amplitude is first generated, which sporadically forms large-amplitude fluid bumps that rapidly propagate downstream. These nonlinear…

Fluid Dynamics · Physics 2020-12-09 M. Aulnette , M. Rabaud , F. Moisy

We demonstrate that the amplitudes of optical solitons in nonlinear multisequence optical waveguide coupler systems with weak linear and cubic gain-loss exhibit large stable oscillations along ultra-long distances. The large stable…

Pattern Formation and Solitons · Physics 2018-03-28 Avner Peleg , Debananda Chakraborty