34 citations · 234 across the 33 of their papers we have counts for
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Discrete sine-Gordon equation on metric graphs: A simple model for Josephson junction networks
M. E. Akramov, J. R. Yusupov, I. N. Askerzade +1
We consider discrete sine-Gordon equation on branched domains. The latter is modeled in terms of the metric graphs with discrete bonds having the form of the branched 1D chains. Ex…
Transparent boundary conditions for the nonlocal nonlinear Schroedinger equation: A model for reflectionless propagation of PT-symmetric solitons
M. E. Akramov, J. R. Yusupov, M. Ehrhardt +2
We consider the problem of reflectionless propagation of PT-symmetric solitons described by the nonlocal nonlinear Schroedinger equation on a line in the framework of the concept o…
Manakov system on metric graphs: Modeling the reflectionless propagation of vector solitons in networks
J. R. Yusupov, Kh. Sh. Matyokubov, M. Ehrhardt +1
We consider the reflectionless transport of Manakov solitons in networks. The system is modelled in terms of the Manakov system on metric graphs subject to transparent boundary con…
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…
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…
The stationary sine-Gordon equation on metric graphs: Exact analytical solutions for simple topologies
K. Sabirov, S. Rakhmanov, D. Matrasulov +1
We consider the stationary sine-Gordon equation on metric graphs with simple topologies. The vertex boundary conditions are provided by flux conservation and matching of derivative…