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Related papers: Soliton generation in optical fiber networks

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We consider the problem of soliton generation in PT-symmetric optical fiber networks, where soliton dynamics is governed by nonlocal nonlinear Schrodinger equation on metric graphs. Exact formulae for the number of generated solitons are…

Pattern Formation and Solitons · Physics 2022-01-12 M. E. Akramov , K. K. Sabirov , O. V. Karpova , D. U. Matrasulov S. Usanov

In this paper we show a mechanism of the soliton generation in nonlinear Schrodinger equation due to a small fast oscillating driving force.

Exactly Solvable and Integrable Systems · Physics 2007-05-23 S. G. Glebov , O. M. Kiselev , V. A. Lazarev

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

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

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 Boltzmann type kinetic equation for solitons in Nonlinear Schr\"{o}dinger equation has been constructed on the base of analysis of two soliton collision. Possible applications for Langmuir solitons in plasma and solitons in optic fiber…

Statistical Mechanics · Physics 2008-02-03 I. V. Baryakhtar

An exact solitary wave solution is presented for the nonlinear Schrodinger equation governing the propagation of pulses in optical fibers including the effects of second, third and fourth order dispersion. The stability of this soliton-like…

Pattern Formation and Solitons · Physics 2018-12-12 Vladimir I. Kruglov , John D. Harvey

We analyse the structure of the exact, dark and bright soliton solutions of the driven non-linear Schr\"odinger equation. It is found that, a wide class of solutions of the higher order non-linear Schr\"odinger equation with a source can…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 Vivek M Vyas , T Soloman Raju , C Nagaraja Kumar , Prasanta K Panigrahi

Solitons confined in a channel are studied in the two-dimensional nonlinear Schroedinger equation. When a channel branches into two channels, a soliton is split into two solitons, if the initial kinetic energy exceeds a critical value. The…

Pattern Formation and Solitons · Physics 2010-09-20 Hidetsugu Sakaguchi , Yusuke Kageyama

Soliton strings in mode-locked lasers are obtained using a variant of the nonlinear Schrodinger equation, appropriately modified to model power (intensity) and energy saturation. This equation goes beyond the well-known master equation…

Optics · Physics 2009-10-05 Mark J. Ablowitz , Theodoros P. Horikis , Sean D. Nixon

The perturbation theory based on the Riemann-Hilbert problem is developed for the modified nonlinear Schr{\"o}dinger equation which describes the propagation of femtosecond optical pulses in nonlinear single-mode optical fibers. A detailed…

solv-int · Physics 2009-10-31 V. S. Shchesnovich , E. V. Doktorov

We examine the evolution of a time-varying perturbation signal pumped into a mono-mode fiber in the anomalous dispersion regime. We analytically establish that the perturbation evolves into a conservative pattern of periodic pulses which…

Pattern Formation and Solitons · Physics 2021-09-17 Défi Jr. Jubgang Fandio , Alain M. Dikandé , A. Sunda-Meya

We propose a method to controllably generate six kinds of nonlinear waves on continuous waves, including the one- and multi-peak solitons, the Akhmediev, Kuznetsov-Ma, and Taijiri-Watanabe breathers, and stable periodic waves. In the…

Pattern Formation and Solitons · Physics 2021-02-24 Peng Gao , Liang Duan , Xian-Kun Yao , Zhan-Ying Yang , Wen-Li Yang

We show that the number of solitons produced from an arbitrary initial pulse of the simple wave type can be calculated analytically if its evolution is governed by a generalized nonlinear Schr\"{o}dinger equation provided this number is…

Pattern Formation and Solitons · Physics 2021-11-24 L. F. Calazans de Brito , A. M. Kamchatnov

We study the properties of a soliton crystal, an bound state of several optical pulses that propagate with a fixed temporal separation through the optical fibres of the proposed approach for generation of optical frequency combs (OFC) for…

Pattern Formation and Solitons · Physics 2017-04-21 M. Zajnulina , M. Böhm , D. Bodenmüller , K. Blow , J. M. Chavez Boggio , A. A. Rieznik , M. M. Roth

Solitons are self-consistent solutions of the nonlinear Schr\"odinger equation that maintain their shape during propagation. Here we show, using a pump-probe technique, that soliton formation can be used to optically induce and control a…

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 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

We demonstrate that the temporal reflection of a weak dispersive pulse on a soliton in media with a frequency-dependent nonlinearity leads to the generation of new solitons, whose number can be selected by tuning parameters of the…

We introduce a concept of noncoherent optical pulse discrimination from a coherent (or partially coherent) signal of the same energy using a phenomenon of soliton generation. The impact of randomisation of the optical signal content on the…

Exactly Solvable and Integrable Systems · Physics 2009-11-13 S. K. Turitsyn , S. A. Derevyanko
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