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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 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 experimentally investigate the nonlinear optical pulse dynamics of ultrashort laser pulses propagating in gas-filled hollow capillary fibers in different dispersion regimes, which are achieved by tuning the gas pressure. When the pulse…

The propagation of light-pulse with negative group-velocity in a nonlinear medium is studied theoretically. We show that the necessary conditions for these effects to be observable are realized in a three-level $\Lambda$-system interacting…

Classical Physics · Physics 2009-11-07 R. G. Ghulghazaryan , Yu. P. Malakyan

We consider the coupled propagation of an optical field and its second harmonic in a quadratic nonlinear medium governed by a coupled system of Schrodinger equations. We prove the existence of ring-profiled optical vortex solitons appearing…

Mathematical Physics · Physics 2025-06-23 Luciano Medina

Multi-soliton pulses are potential candidates for fiber optical transmission where the information is modulated and recovered in the so-called nonlinear Fourier domain. While this is an elegant technique to account for the channel…

Information Theory · Computer Science 2017-05-29 Alexander Span , Vahid Aref , Henning Buelow , Stephan ten Brink

Simple fiber optic communication systems can be implemented using energy modulation of isolated time-limited pulses. Fundamental solitons are one possible solution for such pulses which offer a fundamental advantage: their shape is not…

Signal Processing · Electrical Eng. & Systems 2022-06-23 Youssef Jaffal , Alex Alvarado

We present a model of soliton propagation in waveguides with quadratic nonlinearity. Criteria for solitons to exist in such waveguides are developed and two example nano-waveguide structures are simulated as proof of concept. Interactions…

Optics · Physics 2019-12-11 William R. Rowe , Dmitry V. Skryabin , Andrey V. Gorbach

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

We present a numerical investigation of the propagation dynamics of a truncated Airy pulse in a highly dispersive and nonlinear medium by employing the split-step Fourier transform method and look, in particular, into the effects of fourth…

Optics · Physics 2021-11-19 Deependra Singh Gaur , Ankit Purohit , Akhilesh Kumar Mishra

The existence of ``dispersion-managed solitons'', i.e., stable pulsating solitary-wave solutions to the nonlinear Schr\"{o}dinger equation with periodically modulated and sign-variable dispersion is now well known in nonlinear optics. Our…

Exactly Solvable and Integrable Systems · Physics 2009-11-07 Simon Clarke , Boris A. Malomed , Roger Grimshaw

Temporal solitons are optical pulses that arise from the balance of negative group-velocity dispersion and self-phase modulation. For decades only quadratic dispersion was considered, with higher order dispersion thought of as a nuisance.…

Solitons are universal nonlinear excitations that appear in settings as varied as optics, water waves, and quantum gases [1-5]. While reduced models of soliton dynamics are well established, their validity and dynamical behaviour in…

We theoretically solve the nonlinear Schr\"{o}dinger equation describing the propagation of pure high, even order dispersion (PHEODs) solitons by variational approach. The Lagrangian for nonlinear pulse transmission systems with each…

Optics · Physics 2024-09-12 Xing Liao , Jiahan Huang , Daquan Lu , Wei Hu

We studied generation and dynamics of solitonic pulses, platicons, at normal group velocity dispersion due to the pump amplitude modulation. We proposed, that if the required frequency of amplitude modulation is too large for available…

In case of the nonlinear Schr\"odinger equation with designed group velocity dispersion, variable nonlinearity and gain/loss; we analytically demonstrate the phenomenon of chirp reversal crucial for pulse reproduction. Two different…

Exactly Solvable and Integrable Systems · Physics 2009-11-11 Rajneesh Atre , Prasanta K. Panigrahi

We demonstrate soliton-effect pulse compression in mm-long photonic crystal waveguides resulting from strong anomalous dispersion and self-phase modulation. Compression from 3ps to 580fs, at low pulse energies(~10pJ), is measured via…

Optics · Physics 2015-05-18 P. Colman , C. Husko , S. Combrié , I. Sagnes , C. W. Wong , A. De Rossi

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

Fundamental to many applications of laser pulses in science and technology is an extended interaction length with matter that significantly exceeds the distance over which the pulse would normally diffract and transversely spread. At low…

Plasma Physics · Physics 2025-12-10 J. E. Shrock , B. Miao , E. Rockafellow , H. M. Milchberg

A model is introduced to describe guided propagation of a linear or nonlinear pulse which encounters a localized nonlinear defect, that may be either static or breather-like one (the model with the static defect applies to an optical pulse…

Pattern Formation and Solitons · Physics 2009-11-07 Panayotis G. Kevrekidis , Boris A. Malomed , H. E. Nistazakis , Dimitri J. Frantzeskakis , A. Saxena , A. R. Bishop