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Proceedings Paper

Transmission of solitary pulses in inhomogeneous, nonlinear media: exact solutions
Author(s): K. W. Chow; Boris A. Malomed
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Paper Abstract

The dynamics of solitary pulses in an inhomogeneous nonlinear-optical waveguide, and in Bose-Einstein con-densates controlled by means of the Feshback-resonance techniques with a time-dependent magnetic field, which usually includes dispersion and nonlinearity management as typical scenarios, obeys a variable-coefficient non-linear Schrödinger (NLS)/Gross-Pitaevskii (GP) equation. In this paper, we survey approaches that make it possible to identify special cases of such equations that admit families of exact solutions obtained by means of the Hirota bilinear method. In particular, pulse compression and chirp effects are studied by means of this technique. The method is shown to be effective in modeling the evolution and interaction of solitary pulses.

Paper Details

Date Published: 1 August 2007
PDF: 6 pages
Proc. SPIE 6785, ROMOPTO 2006: Eighth Conference on Optics, 67850X (1 August 2007); doi: 10.1117/12.757848
Show Author Affiliations
K. W. Chow, Univ. of Hong Kong (Hong Kong China)
Boris A. Malomed, Tel Aviv Univ. (Israel)

Published in SPIE Proceedings Vol. 6785:
ROMOPTO 2006: Eighth Conference on Optics
Valentin I. Vlad, Editor(s)

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