371 citations · 440 across the 14 of their papers we have counts for
16 papers
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…
Modulational instability and discrete quantum droplets in a deep quasi-one-dimensional optical lattice
Sherzod R. Otajonov, Bakhram A. Umarov, Fatkhulla Kh. Abdullaev
We study the properties of modulational instability and discrete breathers arising in a quasi-one-dimensional discrete Gross-Pitaevskii equation with Lee-Huang-Yang corrections. Co…