K. K. Sabirov, A. R. Khalmukhamedov, “A solution of nonlinear Schrödinger equation on metric graphs”, Nanosystems: Physics, Chemistry, Mathematics, 2015, Volume 6, Issue 2,Pages <nobr>162

A solution of nonlinear Schrödinger equation on metric graphs

K. K. Sabirov^a, A. R. Khalmukhamedov^b

^a National University of Uzbekistan, 4 University St., 100074, Tashkent, Uzbekistan
^b Tashkent branch of Moscow State University named after L. V. Lomonosov, 22 Amir Temur St., 100060, Tashkent, Uzbekistan

Abstract: We treat the Nonlinear Schrödinger equation (NLSE) on Metric graph. An approach developed earlier for NLSE on interval [14], is extended for star graph. Dirichlet boundary conditions are imposed at the ends of bonds are imposed, while continuity conditions are chosen at the vertex of graph.

Keywords: metric graphs, nonlinear Schrödinger equation, solitons.

PACS: 02.30.Jr,02.30.Ik

Received: 02.02.2015

Language: English

DOI: 10.17586/2220-8054-2015-6-2-162-172