87 citations · 301 across the 24 of their papers we have counts for
6 papers · 1 filter
Kink-antikink soliton solutions of the nonlinear Klein-Gordon equation on branched structures
Q. U. Asadov, K. K. Sabirov, J. R. Yusupov
In this paper, we investigate the nonlinear Klein-Gordon equation on a metric star graph with three semi-infinite bonds. At the branching point, we impose a weighted continuity con…
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…
Transparent nonlinear networks
J. R. Yusupov, K. K. Sabirov, M. Ehrhardt +1
We consider the reflectionless transport of solitons in networks. The system is modeled in terms of the nonlinear Schrödinger equation on metric graphs, for which transparent bound…
Networks with point like nonlinearities
K. K. Sabirov, J. R. Yusupov, H. Susanto +1
We study static nonlinear waves in networks described by a nonlinear Schrodinger equation with point-like nonlinearities on metric graphs. Explicit solutions fulfilling vertex boun…
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…
Dynamics of Dirac solitons in networks
K. K. Sabirov, D. B. Babajanov, D. U. Matrasulov +1
We study dynamics of Dirac solitons in prototypical networks modeling them by the nonlinear Dirac equation on metric graphs. Soliton solutions of the nonlinear Dirac equation on si…