Stationary nonlinear Schrӧdinger equation on the graph for the triangle with outgoing bonds
https://doi.org/10.17586/2220-8054-2017-8-1-24-28
Abstract
We consider the stationary (cubic) nonlinear Schrӧdinger equation (NLSE) on a simple metric graph in the form of a triangle with three infinite outgoing bonds. Exact solutions are obtained for primary star graph with the boundary vertex conditions providing the wave function weights continuity and flux conservation for the case of repulsive nonlinearity.
Supporting agencies: This work is partially supported by the grant of the Committee for the Coordination Science and Technology Development
About the Authors
K. K. Sabirov
Turin Polytechnic University in Tashkent; Tashkent University of Information Technologies
Uzbekistan
Uzbekistan
17 Niyazov Str. 100095 Tashkent
Amir Temur Str. 108, Tashkent
M. Aripov
Department of Mathematics, National University of Uzbekistan
Uzbekistan
Uzbekistan
University Str. 1, 100174, Tashkent
D. B. Sagdullayev
Department of High Matnematics, Tashkent State University of Economy
Uzbekistan
Uzbekistan
Uzbekistan Str., 49, 100003, Tashkent
Review
For citations:
Sabirov K.K., Aripov M., Sagdullayev D.B. Stationary nonlinear Schrӧdinger equation on the graph for the triangle with outgoing bonds. Nanosystems: Physics, Chemistry, Mathematics. 2017;8(1):24-28. https://doi.org/10.17586/2220-8054-2017-8-1-24-28
Views:
4
Email this article 