34 citations · 64 across the 10 of their papers we have counts for
3 papers · 1 filter
Discrete PT-symmetric solitons on branched lattices: Vertex states, stability, and vortices
M. Akramov, A. Fayzullaev, O. Tojakhmadova +1
Branching fundamentally modifies nonlinear localization by introducing vertex degrees of freedom absent in one-dimensional lattices. We investigate localized states in a PT-symmetr…
PT-symmetric branched optical lattices: Spectral properties and stability of solitons
O. K. Tojakhmadova, T. Akhmadjanov, M. E. Akramov
We investigate branched PT-symmetric optical lattices. We consider both the linear and nonlinear Schrödinger equations with a PT-symmetric periodic potential on the graph and solve…
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…