# American Institute of Mathematical Sciences

2015, 2015(special): 169-175. doi: 10.3934/proc.2015.0169

## Matter-wave solitons with a minimal number of particles in a time-modulated quasi-periodic potential

 1 CIICAp, Universidad Autónoma del Estado de Morelos, Cuernavaca, Mor., México, CP 62209, Mexico, Mexico

Received  September 2014 Revised  February 2015 Published  November 2015

The two-dimensional (2D) matter-wave soliton families supported by an external potential are systematically studied, in a vicinity of the junction between stable and unstable branches of the families. In this case the norm of the solution attains a minimum, facilitating the creation of such excitation. We study the dynamics and stability boundaries for fundamental solitons in a 2D self-attracting Bose-Einstein condensate (BEC), trapped in an quasiperiodic optical lattice (OL), with the amplitude subject to periodic time modulation.
Citation: Gennadiy Burlak, Salomon García-Paredes. Matter-wave solitons with a minimal number of particles in a time-modulated quasi-periodic potential. Conference Publications, 2015, 2015 (special) : 169-175. doi: 10.3934/proc.2015.0169
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