Time-Independent Nonlinear Schrodinger Equation on Simplest Networks

摘要

We treat the time-independent (cubic) nonlinear Schrodinger equation (NLSE) on simplest networks. In particular, the solutions are obtained for star and tree graphs with the boundary conditions providing vertex matching and flux conservation. It is shown that the method can be extended to the case of arbitrary number of bonds in star graphs and for other simplest topologies.