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20182022
most citedTransparent boundary conditions for the sine-Gordon equation:Modeling the reflectionless propagation of kink solitons on a line

1 citations · 1 across the 3 of their papers we have counts for

collaborators

13 papers

nlin.PS2022

Soliton generation in PT-symmetric optical fiber networks

M. E. Akramov, K. K. Sabirov, O. V. Karpova +1

We consider the problem of soliton generation in PT-symmetric optical fiber networks, where soliton dynamics is governed by nonlocal nonlinear Schrodinger equation on metric graphs…

nlin.SI2021

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…

nlin.SI20201 cited

Transparent boundary conditions for the sine-Gordon equation:Modeling the reflectionless propagation of kink solitons on a line

K. K. Sabirov, J. R. Yusupov, M. Ehrhardt +1

We consider the reflectionless transport of sine-Gordon solitons on a line. Transparent boundary conditions for the sine-Gordon equation on a line are derived using the so-called p…

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-ph2020

Dirac Particles in Transparent Quantum Graphs: Tunable transport of relativistic quasiparticles in branched structures

J. R. Yusupov, K. K. Sabirov, Q. U. Asadov +2

We consider the dynamics of relativistic spin-half particles in quantum graphs with transparent branching points. The system is modeled by combining the quantum graph concept with…

cond-mat.mes-hall2019

Branched Josephson junctions: Current carrying solitons in external magnetic fields

K. Sabirov, D. Babajanov, D. Matrasulov +1

We consider branched Josephson junction created by planar superconductors connected to each other through the Y-junction insulator. Assuming that the structure interacts with the e…