Transmission of solitary pulses in inhomogeneous, nonlinear media: Exact solutions

K. W. Chow*, Boris A. Malomed

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


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.

Original languageEnglish
Title of host publicationROMOPTO 2006
Subtitle of host publicationEighth Conference on Optics
StatePublished - 2007
EventROMOPTO 2006: Eighth Conference on Optics - Sibiu, Romania
Duration: 4 Sep 20067 Sep 2006

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
ISSN (Print)0277-786X


ConferenceROMOPTO 2006: Eighth Conference on Optics


  • Dispersion-decreasing fiber
  • Gross-Pitaevskii equation
  • Hirota transformation
  • Soliton


Dive into the research topics of 'Transmission of solitary pulses in inhomogeneous, nonlinear media: Exact solutions'. Together they form a unique fingerprint.

Cite this