144 citations · 342 across the 4 of their papers we have counts for
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Transmission of matter wave solitons through nonlinear traps and barriers
Josselin Garnier, Fatkhulla Abdullaev
The transmissions of matter wave solitons through linear and nonlinear inhomogeneities induced by the spatial variations of the trap and the scattering length in Bose-Einstein cond…
Propagation of matter wave solitons in periodic and random nonlinear potentials
Fatkhulla Kh. Abdullaev, Josselin Garnier
We study the motion of bright matter wave solitons in nonlinear potentials, produced by periodic or random spatial variations of the atomic scattering length. We obtain analytical…
Symmetry breaking induced by random fluctuations for Bose-Einstein condensates in a double-well trap
J. Garnier, F. Kh. Abdullaev
This paper is devoted to the study of the dynamics of two weakly-coupled Bose-Einstein condensates confined in a double-well trap and perturbed by random external forces. Energy di…
Collective oscillations of one-dimensional Bose-Einstein gas in a time-varying trap potential and atomic scattering length
F. Kh. Abdullaev, J. Garnier
The collective oscillations of 1D repulsive Bose gas with external harmonic confinement in two different regimes are studied. The first regime is the mean field regime when the den…