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

K. W. Chow; Boris A. Malomed

doi:10.1117/12.757848

1 August 2007 Transmission of solitary pulses in inhomogeneous, nonlinear media: exact solutions

K. W. Chow, Boris A. Malomed

Proceedings Volume 6785, ROMOPTO 2006: Eighth Conference on Optics; 67850X (2007) https://doi.org/10.1117/12.757848
Event: ROMOPTO 2006: Eighth Conference on Optics, 2006, Sibiu, Romania

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.

Citation Download Citation

K. W. Chow and Boris A. Malomed "Transmission of solitary pulses in inhomogeneous, nonlinear media: exact solutions", Proc. SPIE 6785, ROMOPTO 2006: Eighth Conference on Optics, 67850X (1 August 2007); https://doi.org/10.1117/12.757848

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