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Exact self-similar solutions of the generalized nonlinear Schrodinger equation with distributed coefficients

Exact self-similar solutions of the generalized nonlinear Schrodinger equation with distributed coefficients
Exact self-similar 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. Appropriate solitary wave solutions applying to propagation in optical fibers and optical fiber amplifiers with these distributed parameters have also been studied. These solutions exist for physically realistic dispersion and nonlinearity profiles in a fiber with anomalous group velocity dispersion. 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.
0031-9007
113902-[4pp]
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. (2003) Exact self-similar solutions of the generalized nonlinear Schrodinger equation with distributed coefficients. Physical Review Letters, 90 (11), 113902-[4pp]. (doi:10.1103/PhysRevLett.90.113902).

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. Appropriate solitary wave solutions applying to propagation in optical fibers and optical fiber amplifiers with these distributed parameters have also been studied. These solutions exist for physically realistic dispersion and nonlinearity profiles in a fiber with anomalous group velocity dispersion. 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.

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Published date: March 2003

Identifiers

Local EPrints ID: 46861
URI: https://eprints.soton.ac.uk/id/eprint/46861
ISSN: 0031-9007
PURE UUID: 38bf7c19-f595-4532-b700-0c0899d16a13
ORCID for A.C. Peacock: ORCID iD orcid.org/0000-0002-1940-7172

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Date deposited: 19 Jul 2007
Last modified: 26 Nov 2019 01:49

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