@inproceedings{63bac8fe186d43a6a3afb2ec1e3fd690,
title = "Transmission of solitary pulses in inhomogeneous, nonlinear media: Exact solutions",
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 Schr{\"o}dinger (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.",
keywords = "Dispersion-decreasing fiber, Gross-Pitaevskii equation, Hirota transformation, Soliton",
author = "Chow, {K. W.} and Malomed, {Boris A.}",
year = "2007",
doi = "10.1117/12.757848",
language = "אנגלית",
isbn = "0819469491",
series = "Proceedings of SPIE - The International Society for Optical Engineering",
booktitle = "ROMOPTO 2006",
note = "ROMOPTO 2006: Eighth Conference on Optics ; Conference date: 04-09-2006 Through 07-09-2006",
}