87 citations · 301 across the 24 of their papers we have counts for
5 papers · 1 filter
Transparent Quantum Graphs
J. R. Yusupov, K. K. Sabirov, M. Ehrhardt +1
We consider quantum graphs with transparent branching points. To design such networks, the concept of transparent boundary conditions is applied to the derivation of the vertex bou…
Soliton generation in optical fiber networks
K. K. Sabirov, M. Akromov, Sh. R. Otajonov +1
We consider the problem of soliton generation in branched optical fibers. A model based on the nonlinear Schrodinger equation on metric graphs is proposed. Number of generated soli…
Thermal diffusion in branched structures: Metric graph based approach
K. Sabirov, Zh. Zhunussova, D. Babajanov +1
We consider the problem of heat diffusion in branched systems and networks on the basis of a model described in terms of heat equation on metric graphs. Using the explicit analytic…
PT-symmetric quantum graphs
D. U. Matrasulov, K. K. Sabirov, J. R. Yusupov
We consider branched quantum wires, whose connection rules provide PT-symmetry for the Schrodinger equation on graph. For such PT-symmetric quantum graph we derive general boundary…
Bogoliubov de Gennes equation on metric graphs
K. K. Sabirov, D. Jumanazarov, J. Yusupov +1
We consider Bogoliubov de Gennes equation on metric graphs. The vertex boundary conditions providing self-adjoint realization of the Bogoliubov de Gennes operator on a metric star…