34 citations · 64 across the 10 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…
Discrete Nonlocal Nonlinear Schroedinger equation on Metric Graphs: Dynamics of PT-Symmetric Solitons in Discrete Networks
M. Akramov, F. Khashimova, D. Matrasulov
We consider PT-symmetric, discrete nonlocal nonlinear Schrödinger equation on metric graphs. Soliton solutions are obtained for simplest graph topologies, such as star and tree gra…
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…