303 citations · 3k across the 67 of their papers we have counts for
67 papers
Dynamics of imbalanced quasi-one-dimensional binary Bose-Einstein condensate in external potentials
K. K. Ismailov, B. B. Baizakov, F. Kh. Abdullaev +1
In the framework of coupled 1D Gross-Pitaevskii equations, we explore the dynamics of a binary Bose-Einstein condensate where the intra-component interaction is repulsive, while th…
Compacton existence and spin-orbit density dependence in Bose-Einstein condensates
F. Kh. Abdullaev, M. S. A. Hadi, B. Umarov +2
We demonstrate the existence of compactons matter waves in binary mixtures of Bose-Einstein condensates (BEC) trapped in deep optical lattices (OL) subjected to equal contributions…
Management of solitons in medium with competing cubic and quadratic nonlinearities
F. Kh. Abdullaev, J. S. Yuldashev, M. Ogren
Management of solitons in media with competing quadratic and cubic nonlinearities is investigated. Two schemes, using rapid modulations of a mismatch parameter, and of the Kerr non…
Modulational instability and quantum droplets in a two-dimensional Bose-Einstein condensate
Sherzod R. Otajonov, Eduard N. Tsoy, Fatkhulla Kh. Abdullaev
Modulational instability of a uniform two-dimensional binary Bose-Einstein condensate (BEC) in the presence of quantum fluctuations is studied. The analysis is based on the coupled…
Matter waves in atomic-molecular condensates with Feshbach resonance management
F Kh Abdullaev, M Ogren, J S Yuldashev
The dynamics of matter waves in the atomic to molecular condensate transition with a time-modulated atomic scattering length is investigated. Both the cases of rapid and slow modul…
Discrete Solitons of the Ginzburg-Landau Equation
Mario Salerno, Fatkhulla Kh. Abdullaev
In this chapter we review recent results concerning localized and extended dissipative solutions of the discrete complex Ginzburg-Landau equation. In particular, we discuss discret…