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Proceedings Paper

Soliton management: from optical solitons to matter-wave solitons
Author(s): V. N. Serkin; Akira Hasegawa; T. L. Belyaeva
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Paper Abstract

We show that the methodology based on the generalized inverse scattering transform (ST) provides a systematic way to discover the novel exactly integrable nonlinear Schroedinger equation modesl with varying dispersion, nonlinearity and gain or absorption. Novel soliton solutions for the nonautonomous nonlinear Schrodinger equation (NLSE) models with harmonic oscillator potential substantially extend the concept of classical solitons and generalize it to the plethora of nonautonomous solitons that interact elastically and generally move with varying amplitudes, speeds and spectra adapted both to the external potentials and to the dispersion and nonlinearilty variations. The nonautonomous soliton concept is a useful tool in optical solitons applications and opens novel possibilities for matter-wave solitons generation.

Paper Details

Date Published: 13 March 2007
PDF: 10 pages
Proc. SPIE 6604, 14th International School on Quantum Electronics: Laser Physics and Applications, 660418 (13 March 2007); doi: 10.1117/12.727102
Show Author Affiliations
V. N. Serkin, Benemerita Univ. Autonoma de Puebla (Mexico)
Akira Hasegawa, Soliton Communications (Japan)
T. L. Belyaeva, Benemerita Univ. Autonoma de Puebla (Mexico)

Published in SPIE Proceedings Vol. 6604:
14th International School on Quantum Electronics: Laser Physics and Applications
Peter A. Atanasov; Tanja N. Dreischuh; Sanka V. Gateva; Lubomir M. Kovachev, Editor(s)

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