Soliton dynamics in confining time-dependent potentials

T. L. Belyaeva; V. N. Serkin; C. Hernandez-Tenorio; L. M. Kovachev

doi:10.1117/12.822531

19 December 2008 Soliton dynamics in confining time-dependent potentials

T. L. Belyaeva, V. N. Serkin, C. Hernandez-Tenorio, L. M. Kovachev

Proceedings Volume 7027, 15th International School on Quantum Electronics: Laser Physics and Applications; 70271I (2008) https://doi.org/10.1117/12.822531
Event: 15th International School on Quantum Electronics: Laser Physics and Applications, 2008, Bourgas, Bulgaria

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.

Citation Download Citation

T. L. Belyaeva, V. N. Serkin, C. Hernandez-Tenorio, and L. M. Kovachev "Soliton dynamics in confining time-dependent potentials", Proc. SPIE 7027, 15th International School on Quantum Electronics: Laser Physics and Applications, 70271I (19 December 2008); https://doi.org/10.1117/12.822531

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