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We present experiments performed in a recirculating fiber loop in which we realize the single-shot observation of the space and time interaction of two and three bright solitons. The space-time evolutions observed in experiments provide…

Pattern Formation and Solitons · Physics 2023-06-21 François Copie , Pierre Suret , Stéphane Randoux

We propose a physical method for controlling soliton eigenvalues in optical fibers, which is realized through the interaction between circularly polarized lights. Using this method, we not only achieve the decomposition of high-order…

Optics · Physics 2025-06-10 Peng Gao , Xiaofang Wang , Sha An , Kai Wen , Juanjuan Zheng , Tanping Li , Peng Gao

The propagation of optical pulses in two types of fibers with randomly varying dispersion is investigated. The first type refers to a uniform fiber dispersion superimposed by random modulations with a zero mean. The second type is the…

Pattern Formation and Solitons · Physics 2009-11-10 F. Kh. Abdullaev , D. V. Navotny , B. B. Baizakov

Remarkable mathematical properties of the integrable nonlinear Schr\"odinger equation (NLSE) can offer advanced solutions for the mitigation of nonlinear signal distortions in optical fibre links. Fundamental optical soliton, continuous and…

Exactly Solvable and Integrable Systems · Physics 2017-06-07 L. L. Frumin , A. A. Gelash , S. K. Turitsyn

We use multiscale perturbation theory in conjunction with the inverse scattering transform to study the interaction of a number of solitons of the cubic nonlinear Schroedinger equation under the influence of a small correction to the…

patt-sol · Physics 2009-10-31 James A. Besley , Peter D. Miller , Nail N. Akhmediev

We report an optical fiber experiment in which we investigate the interaction between an individual soliton and a dense soliton gas. We evidence a refraction phenomenon where the tracer soliton experiences an effective velocity change due…

Pattern Formation and Solitons · Physics 2023-03-24 Pierre Suret , Martin Dufour , Giacomo Roberti , Gennady El , Francois Copie , Stephane Randoux

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

Dynamics of solitons is considered in the framework of the extended nonlinear Schrodinger equation (NLSE), which is derived from a system of Zakharov's type for the interaction between high- and low-frequency (HF and LF) waves, in which the…

Pattern Formation and Solitons · Physics 2014-01-14 E. M. Gromov , B. A. Malomed

Dynamics of solitons is considered in the framework of an extended nonlinear Schr\"odinger equation (NLSE), which is derived from a Zakharov-type model for wind-driven high-frequency (HF) surface waves in the ocean, coupled to damped…

Pattern Formation and Solitons · Physics 2015-12-04 Evgeny M. Gromov , Boris A. Malomed

Nonlinear optical wave propagation manifests in a multitude of frequencies generated from quantum-noise, and selecting desired nonlinear products usually requires seeding the medium with extraneous waves, employing spatial or spectral…

Optics · Physics 2019-03-06 Lars Rishøj , Boyin Tai , Poul Kristensen , Siddharth Ramachandran

Optical solitons are self-sustained wave packets that propagate without distortion due to a balance between dispersion and nonlinearity. Their unique stability underpins key photonic applications while also playing a central role in…

Pattern Formation and Solitons · Physics 2025-12-04 François Copie , Pierre Suret , Stéphane Randoux

We investigate the fundamental problem of the nonlinear wavefield scattering data corrections in response to a perturbation of initial condition using inverse scattering transform theory. We present a complete theoretical linear…

Pattern Formation and Solitons · Physics 2021-06-16 Rustam Mullyadzhanov , Andrey Gelash

In this paper, the theory of inverse scattering transform (IST) is developed for the discrete PT-symmetric nonlocal nonlinear Schr\"{o}inger equation under large nonzero boundary conditions (NZBCs). By considering that the data at infinity…

Exactly Solvable and Integrable Systems · Physics 2026-04-01 Chuanxin Xu , Tao Xu

We study the dynamics of a dark-bright soliton interacting with a fixed impurity using a mean-field approach. The system is described by a vector nonlinear Schrodinger equation (NLSE) appropriate to multicomponent Bose-Einstein condensates.…

Quantum Gases · Physics 2019-09-04 Majed O. D. Alotaibi , Lincoln D. Carr

A model is studied which describes a propagation of a subpicosecond optical pulse in dispersion-managed fibre links. In the limit of weak chromatic dispersion management, the model equation is reduced to a perturbed modified NLS equation…

Exactly Solvable and Integrable Systems · Physics 2009-11-11 Evgeny V. Doktorov

The Nonlinear Schr\"odinger (NLS) equation is widely used in everywhere of natural science. Various nonlinear excitations of the NLS equation have been found by many methods. However, except for the soliton-soliton interactions, it is very…

Exactly Solvable and Integrable Systems · Physics 2013-07-16 S. Y. Lou , Xue-Ping Cheng , Xiao-Yan Tang

We report results of systematic simulations of the dynamics of solitons in the framework of the one-dimensional nonlinear Schr\"{o}dinger equation (NLSE), which includes the harmonic-oscillator (HO) potential and a random potential. The…

Pattern Formation and Solitons · Physics 2015-05-30 Qian-Yong Chen , Panayotis G. Kevrekidis , Boris A. Malomed

We consider an array of double oligomers in an optical waveguide device. A mathematical model for the system is the coupled discrete nonlinear Schr\"odinger (NLS) equations, where the gain-and-loss parameter contributes to the…

Pattern Formation and Solitons · Physics 2020-10-22 O. B. Kirikchi , N. Karjanto

Wecritically review the recent progress in understanding soliton propagation in birefringent optical fibers.By constructing the most general bright two-soliton solution of the integrable coupled nonlinear Schroedinger equation (Manakov…

Exactly Solvable and Integrable Systems · Physics 2019-08-17 M. Lakshmanan , T. Kanna , R. Radhakrishnan

We put forward new properties of lattice solitons in materials and geometries where both, the linear refractive index and the nonlinearity are spatially modulated. We show that the interplay between linear and out-of-phase nonlinear…

Optics · Physics 2009-11-13 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner
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