output
20062022
most citedOn classification of complex filiform Leibniz algebras

25 citations

10 papers

cond-mat.quant-gas2022★ 9 cited

Self-consistent theory of a homogeneous binary Bose mixture with strong repulsive interspecies interaction

Abdulla Rakhimov, Tolibjon Abdurakhmonov, Zabardast Narzikulov +1

Multicomponent quantum gases are ideal platforms to study fundamental phenomena arising from the mutual interaction between different constituents. Particularly, due to the repulsi…

nlin.SI2021★ 14 cited

Nonlocal Nonlinear Schrodinger Equation on Metric Graphs

K. Sabirov, D. Matrasulov, M. Akramov +1

We consider PT-symmetric, nonlocal nonlinear Schrodinger equation on metric graphs. Vertex boundary conditions are derived from the conservation laws. Soliton solutions are obtaine…

cond-mat.stat-mech2021★ 8 cited

Fokker-Planck equation on metric graphs

Jasur Matrasulov, Karimjon Sabirov

We consider the Fokker-Planck equation on metric graphs. Vertex boundary conditions are imposed in the form of weight continuity and the probability current conservation. Exact sol…

nlin.SI2021★ 11 cited

Reflectionless propagation of Manakov solitons on a line:A model based on the concept of transparent boundary conditions

K. K. Sabirov, J. R. Yusupov, M. M. Aripov +2

We consider the problem of absence of backscattering in the transport of Manakov solitons on a line. The concept of transparent boundary conditions is used for modeling the reflect…

quant-ph2020

Dirac particles on periodic quantum graphs

J. R. Yusupov, K. K. Sabirov, D. U. Matrasulov

We consider the Dirac equation on periodic networks (quantum graphs). The self-adjoint quasi periodic boundary conditions are derived. The secular equation allowing us to find the…

quant-ph2019★ 15 cited

Fast-forward approach to adiabatic quantum dynamics of regular spin clusters: nature of geometry-dependent driving interactions

Iwan Setiawan, Bobby Eka Gunara, Sanat Avazbaev +1

The fast forward scheme of adiabatic quantum dynamics is applied to finite regular spin clusters with various geometries and the nature of driving interactions is elucidated. The f…

math.DS2011

-adic -rational dynamical systems

S. Albeverio, U. A. Rozikov, I. A. Sattarov

We investigate the trajectory of an arbitrary -rational -adic dynamical system in a complex -adic field $\C_p$. (i) In the case where there is no fixed point we show t…

math.RA2011

Periodic algebras generated by groups

S. Albeverio, B. A. Omirov, U. A. Rozikov

We consider algebras with basis numerated by elements of a group We fix a function from to a ground field and give a multiplication of the algebra which depend…

math.RA2011

On the solutions of the equation x^3+ax=b in Z*_3 with coefficients from Q_3

Rikhsiboev I. M., Khudoyberdiyev A. Kh., Kurbanbaev T. K. +1

In this paper we present the algorithm of finding the solutions of the equation in with coefficients from .

math.RA2006★ 25 cited

On classification of complex filiform Leibniz algebras

J. R. Gómez, B. A. Omirov

In this paper we prove that in classifying of complex filiform Leibniz algebras, for which its naturally graded algebra is non-Lie algebra, it suffices to consider some special bas…