Article

A solution of nonlinear Schrödinger equation on metric graphs

K.K. SabirovNational University of Uzbekistan, 4 University St., 100074, Tashkent, UzbekistanA. R. Khalmukhamedov

Nanosystems Physics Chemistry Mathematicsjournal2015en

ABI

Abstract

We treat the Nonlinear Schrdinger 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.

Topics

Nonlinear Waves and Solitons Advanced Mathematical Physics Problems Nonlinear Photonic Systems

Identifiers

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

Citations and references

Cited by 025 references

Metrics — AkademScholar · Coming soon