Communications in Mathematical Analysis

Dynamics of the Fundamental Matter-wave Solitons in a Time-modulated Two-dimensional Quasiperiodic Optical Lattice

S. Garcia-Paredes and G. Burlak

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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.

Article information

Source
Commun. Math. Anal., Volume 17, Number 2 (2014), 163-177.

Dates
First available in Project Euclid: 18 December 2014

Permanent link to this document
https://projecteuclid.org/euclid.cma/1418919762

Mathematical Reviews number (MathSciNet)
MR3292966

Zentralblatt MATH identifier
1248.32008

Subjects
Primary: 35C08: Soliton solutions 37K40: Soliton theory, asymptotic behavior of solutions 35J10: Schrödinger operator [See also 35Pxx] 35J66: Nonlinear boundary value problems for nonlinear elliptic equations

Keywords
Bose-Einstein condensate fundamental solitons quasiperiodic optical lattice numerical simulations

Citation

Garcia-Paredes, S.; Burlak, G. Dynamics of the Fundamental Matter-wave Solitons in a Time-modulated Two-dimensional Quasiperiodic Optical Lattice. Commun. Math. Anal. 17 (2014), no. 2, 163--177. https://projecteuclid.org/euclid.cma/1418919762


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