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Proceedings Paper

Soliton dynamics in confining time-dependent potentials
Author(s): T. L. Belyaeva; V. N. Serkin; C. Hernandez-Tenorio; L. M. Kovachev
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Paper Abstract

The dynamics of nonlinear solitary waves is studied in the framework of the nonlinear Schrodinger equation model with time-dependent confining harmonic oscillator potential. The model allows one to analyse on the general basis a variety of nonlinear phenomena appearing both in Bose-Einstein condensate, condensed matter physics and in nonlinear optics and biophysics. The nonlinear effect of the soliton parametric resonance is investigated by using two complementary methods: the adiabatic perturbation theory and direct numerical experiments. Conditions for reversible and irreversible denaturation of soliton bound states are also considered.

Paper Details

Date Published: 19 December 2008
PDF: 8 pages
Proc. SPIE 7027, 15th International School on Quantum Electronics: Laser Physics and Applications, 70271I (19 December 2008); doi: 10.1117/12.822531
Show Author Affiliations
T. L. Belyaeva, Benemerita Univ. Autonoma de Puebla (Mexico)
V. N. Serkin, Benemerita Univ. Autonoma de Puebla (Mexico)
C. Hernandez-Tenorio, Instituto Tecnológico de Toluca (Mexico)
L. M. Kovachev, Institute of Electronics (Bulgaria)


Published in SPIE Proceedings Vol. 7027:
15th International School on Quantum Electronics: Laser Physics and Applications

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