Asymptotically exact parabolic solutions of the generalized nonlinear Schrödinger equation with varying parameters
JOSA B, Vol. 23, Issue 12, pp. 2541-2550 (2006)
http://dx.doi.org/10.1364/JOSAB.23.002541
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Abstract
We present exact asymptotic similariton solutions of the generalized nonlinear Schrödinger equation (NLSE) with gain or loss terms for a normal-dispersion fiber amplifier with dispersion, nonlinearity, and gain profiles that depend on the propagation distance. Our treatment is based on the mapping of the NLSE with varying parameters to the NLSE with constant dispersion and nonlinearity coefficients and an arbitrary varying gain function. We formulate an effective procedure that leads directly, under appropriate conditions, to a wide range of exact asymptotic similariton solutions of NLSE demonstrating self-similar propagating regimes with linear chirp.
© 2006 Optical Society of America
OCIS Codes
(060.2320) Fiber optics and optical communications : Fiber optics amplifiers and oscillators
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(190.4370) Nonlinear optics : Nonlinear optics, fibers
ToC Category:
Nonlinear Optics
History
Original Manuscript: March 17, 2006
Revised Manuscript: July 20, 2006
Manuscript Accepted: August 6, 2006
Citation
Vladimir I. Kruglov and John D. Harvey, "Asymptotically exact parabolic solutions of the generalized nonlinear Schrödinger equation with varying parameters," J. Opt. Soc. Am. B 23, 2541-2550 (2006)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-23-12-2541
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