Self-similar parabolic optical solitary waves


We study solutions of the nonlinear Schrödinger equation (NLSE) with gain, describing optical pulse propagation in an amplifying medium. We construct a semiclassical self-similar solution with a parabolic temporal variation that corresponds to the energy-containing core of the asymptotically propagating pulse in the amplifying medium. We match the self-similar core through Painlevé functions to the solution of the linearized equation that corresponds to the low-amplitude tails of the pulse. The analytic solution accurately reproduces the numerically calculated solution of the NLSE.

Uncontrolled Keywords: nonlinear optics, generation of parabolic pulses, self-similarity
Publication ISSN: 0040-5779
Last Modified: 23 Oct 2019 12:42
Date Deposited: 15 Jan 2013 11:45
Published Date: 2002
Authors: Boscolo, Sonia
Turitsyn, Sergei K.
Novokshenov, V.Yu.
Nijhof, J.H.B.


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