68 citations · 248 across the 10 of their papers we have counts for
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Dynamics of ring solitons in an expanding cloud of a Bose-Einstein condensate
A. M. Kamchatnov, B. I. Suleimanov, E. N. Tsoy
In this paper, we derive equations for the dynamics of ring dark solitons in an expanding cloud of a two-dimensional Bose-Einstein condensate. Assuming that the soliton's width is…
Generic quartic solitons in optical media
Eduard N. Tsoy, Laziz A. Suyunov
Our analysis suggests strongly that stationary pulses exist in nonlinear media with second-, third-, and fourth-order dispersion. A theory, based on the variational approach, is de…
Stationary and dynamical properties of one-dimensional quantum droplets
Sherzod R. Otajonov, Eduard N. Tsoy, Fatkhulla Kh. Abdullaev
The dynamics of quantum droplets in 1D is analyzed on the basis of the variational approach (VA). It is shown that the VA based on the super-Gaussian function gives a good approxim…
Introduction to nonlinear discrete systems: Theory and modeling
E. N. Tsoy, B. A. Umarov
An analysis of discrete systems is important for understanding of various physical processes, such as excitations in crystal lattices and molecular chains, the light propagation in…
Dynamics of fronts in optical media with linear gain and nonlinear losses
Izzat M. Allayarov, Eduard N. Tsoy
The dynamics of fronts, or kinks, in dispersive media with gain and losses is considered. It is shown that the front parameters, such as the velocity and width, depend on initial c…
Stable localized modes in asymmetric waveguides with gain and loss
Eduard N. Tsoy, Izzat M. Allayarov, Fatkhulla Kh. Abdullaev
It is shown that asymmetric waveguides with gain and loss can support a stable propagation of optical beams. This means that the propagation constants of modes of the corresponding…