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.
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
2005
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), .
(doi:10.1103/PhysRevE.71.056619).
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
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Local EPrints ID: 65489
URI: http://eprints.soton.ac.uk/id/eprint/65489
ISSN: 1539-3755
PURE UUID: 6b32fd1f-96b7-4bb4-9d25-4f3d5f6bb31f
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Date deposited: 17 Feb 2009
Last modified: 14 Mar 2024 02:47
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Author:
V.I. Kruglov
Author:
A.C. Peacock
Author:
J.D. Harvey
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