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2014 Dynamics of the Fundamental Matter-wave Solitons in a Time-modulated Two-dimensional Quasiperiodic Optical Lattice
S. Garcia-Paredes, G. Burlak
Commun. Math. Anal. 17(2): 163-177 (2014).

Abstract

By means of the variational approximation (VA) and systematic simulations, we study dynamics and stability boundaries for fundamental solitons in a two-dimensional (2D) self-attracting Bose-Einstein condensate (BEC), trapped in an quasiperiodic optical lattice (OL), with the amplitude subject to periodic time modulation (the modulation frequency, ω. Regions of stability of the solitons against the collapse and decay are identified in the space of the model’s parameters.

Citation

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S. Garcia-Paredes. G. Burlak. "Dynamics of the Fundamental Matter-wave Solitons in a Time-modulated Two-dimensional Quasiperiodic Optical Lattice." Commun. Math. Anal. 17 (2) 163 - 177, 2014.

Information

Published: 2014
First available in Project Euclid: 18 December 2014

zbMATH: 1248.32008
MathSciNet: MR3292966

Subjects:
Primary: 35C08, 35J10, 35J66, 37K40

Rights: Copyright © 2014 Mathematical Research Publishers

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Vol.17 • No. 2 • 2014
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