371 citations · 440 across the 14 of their papers we have counts for
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Front-based construction of quantum droplets, bubbles, and hole states in a Bose mixture
Sherzod R. Otajonov, Fatkhulla Kh. Abdullaev
We study nonlinear holes, bubbles, kink fronts, and quantum-droplet-like states in an elongated Bose mixture governed by an extended Gross-Pitaevskii equation with attractive cubic…
Quantum scattering of droplets by wells and barriers in one-dimensional Bose-Bose mixtures
Sherzod R. Otajonov, Uktambek R. Eshimbetov, Bakhram A. Umarov +1
We investigate, both analytically and numerically, the scattering of quasi-one-dimensional quantum droplets from Pöschl-Teller potential wells and barriers. For attractive wells, w…
Josephson Dynamics of 2D Bose-Einstein Condensates in Dual-Core Trap: Homogeneous, Droplet-Droplet, and Vortex-Vortex Regimes
Sherzod R. Otajonov, Fatkhulla Kh. Abdullaev
The dynamics of a two-dimensional Bose-Einstein condensate mixture, loaded into a dual-core trap, when beyond-mean-field effects are taken into account, are considered. The effects…
Beyond mean-field effects in Josephson oscillations and self-trapping of Bose-Einstein condensates in two-dimensional dual-core traps
Sherzod R. Otajonov, Fatkhulla Kh. Abdullaev, Akbar Shermaxmatov
We study a binary Bose gas in a symmetric dual-core, pancake-shaped trap, modelled by two linearly coupled two-dimensional Gross-Pitaevskii equations with Lee-Huang-Yang correction…
Attractive Multidimensional Solitons in Trapping Potentials
Fatkhulla Abdullaev, Mario Salerno
This paper reviews theoretical advances on the formation and stabilization of multidimensional solitons in nonlinear Schrödinger systems with attractive interactions, focusing on a…
Dynamics of quasi-one-dimensional quantum droplets in Bose-Bose mixtures
Sherzod R. Otajonov, Bakhram A. Umarov, Fatkhulla Kh. Abdullaev
The properties of quasi-one-dimensional quantum droplets of Bose-Einstein condensates are investigated analytically and numerically, taking into account the contribution of quantum…
Beyond mean-field effects in dynamics of BEC in the double-well potential
Fatkhulla Kh. Abdullaev, Ravil M. Galimzyanov, Akbar M. Shermakhmatov
The nonlinear dynamics of a quasi-1D BEC loaded in a double-well potential is studied. The beyond mean-field corrections to the energy in the form of the Lee-Huang-Yang term are ta…
Modulational instability in a quasi-one-dimensional Bose-Einstein condensates
Sherzod R. Otajonov, Bakhram A. Umarov, Fatkhulla Kh. Abdullaev
In this work, we investigate the modulational instability of plane wave solutions within a modified Gross-Pitaevskii equation framework. The equation features cubic and quartic non…
Faraday waves in BEC with engineering three-body interactions
Fatkhulla Kh. Abdullaev, Arnaldo Gammal, Lauro Tomio
We consider Bose-Einstein condensates with two- and three-body interactions periodically varying in time. Two models of time-dependent three-body interactions, with quadratic and q…
Compacton matter waves in binary Bose gases under strong nonlinear management
F. Kh. Abdullaev, M. S. A. Hadi, M. Salerno +1
The existence of compacton matter waves in binary mixtures of quasi one-dimensional Bose-Einstein condensates in deep optical lattices and in the presence of nonlinearity managemen…