47 citations · 67 across the 4 of their papers we have counts for
4 papers
Intrinsic localized modes for DNLS equation with competing nonlinearities: bifurcations
G. L. Alfimov, P. A. Korchagin, F. K. Abdullaev
We study nonlinear excitations described by DNLS-type equations with so-called competing nonlinearities. These are the nonlinearities that consist of two power terms with coefficie…
Nonlinearity managed vector solitons
F. Kh. Abdullaev, J. S. Yuldashev, M. Ogren
The evolution of vector solitons under nonlinearity management is studied. The averaged over strong and rapid modulations in time of the inter-species interactions vector Gross-Pit…
Bosonic impurity in a one-dimensional quantum droplet in the Bose-Bose mixture
F. Kh. Abdullaev, R. M. Galimzyanov
We study an impurity immersed in the mixture of Bose ultracold gases in the regime where a quantum droplet exists. The quasi-one-dimensional geometry is considered. We find an effe…
Solitons in Tonks-Girardeau gas with dipolar interactions
B. B. Baizakov, F. Kh. Abdullaev, B. A. Malomed +1
The existence of bright solitons in the model of the Tonks-Girardeau (TG) gas with dipole-dipole (DD) interactions is reported. The governing equation is taken as the quintic nonli…