34 citations · 174 across the 29 of their papers we have counts for
3 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…
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…