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Exact solutions of the generalized nonlinear Schrodinger equation with distributed coefficients

Exact solutions of the generalized nonlinear Schrodinger equation with distributed coefficients
Exact solutions of the generalized nonlinear Schrodinger equation with distributed coefficients
A broad class of exact self-similar solutions to the nonlinear Schrödinger equation (NLSE) with distributed dispersion, nonlinearity, and gain or loss has been found describing both periodic and solitary waves. Appropriate solitary wave solutions applying to propagation in optical fibers and optical fiber amplifiers with these distributed parameters have also been studied in detail. These solutions exist for physically realistic dispersion and nonlinearity profiles. They correspond either to compressing or spreading solitary pulses which maintain a linear chirp or to chirped oscillatory solutions. The stability of these solutions has been confirmed by numerical simulations of the NLSE with perturbed initial conditions. These self-similar propagation regimes are expected to find practical application in both optical fiber amplifier systems and in fiber compressors.
1539-3755
056619-[11pp]
Kruglov, V.I.
09218f76-acb4-4651-b37d-8dc01b761809
Peacock, A.C.
685d924c-ef6b-401b-a0bd-acf1f8e758fc
Harvey, J.D.
4306fdcd-70ed-475b-8b67-ccc34254b6e1
Kruglov, V.I.
09218f76-acb4-4651-b37d-8dc01b761809
Peacock, A.C.
685d924c-ef6b-401b-a0bd-acf1f8e758fc
Harvey, J.D.
4306fdcd-70ed-475b-8b67-ccc34254b6e1

Kruglov, V.I., Peacock, A.C. and Harvey, J.D. (2005) Exact solutions of the generalized nonlinear Schrodinger equation with distributed coefficients. Physical Review E, 71 (5), 056619-[11pp]. (doi:10.1103/PhysRevE.71.056619).

Record type: Article

Abstract

A broad class of exact self-similar solutions to the nonlinear Schrödinger equation (NLSE) with distributed dispersion, nonlinearity, and gain or loss has been found describing both periodic and solitary waves. Appropriate solitary wave solutions applying to propagation in optical fibers and optical fiber amplifiers with these distributed parameters have also been studied in detail. These solutions exist for physically realistic dispersion and nonlinearity profiles. They correspond either to compressing or spreading solitary pulses which maintain a linear chirp or to chirped oscillatory solutions. The stability of these solutions has been confirmed by numerical simulations of the NLSE with perturbed initial conditions. These self-similar propagation regimes are expected to find practical application in both optical fiber amplifier systems and in fiber compressors.

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Published date: 2005

Identifiers

Local EPrints ID: 65489
URI: https://eprints.soton.ac.uk/id/eprint/65489
ISSN: 1539-3755
PURE UUID: 6b32fd1f-96b7-4bb4-9d25-4f3d5f6bb31f
ORCID for A.C. Peacock: ORCID iD orcid.org/0000-0002-1940-7172

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Date deposited: 17 Feb 2009
Last modified: 20 Jul 2019 01:01

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