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.
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
March 2003
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), .
(doi:10.1103/PhysRevLett.90.113902).
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
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Local EPrints ID: 46861
URI: http://eprints.soton.ac.uk/id/eprint/46861
ISSN: 0031-9007
PURE UUID: 38bf7c19-f595-4532-b700-0c0899d16a13
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Date deposited: 19 Jul 2007
Last modified: 16 Mar 2024 03:31
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Author:
V.I. Kruglov
Author:
J.D. Harvey
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