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nlin.PS2016★ 11 cited
Stationary waves on nonlinear quantum graphs II: Application of canonical perturbation theory in basic graph structures
Sven Gnutzmann, Daniel Waltner
We consider exact and asymptotic solutions of the stationary cubic nonlinear Schrödinger equation (NLSE) on metric graphs. We focus on some basic example graphs. The asymptotic sol…
nlin.PS2015★ 37 cited
Stationary waves on nonlinear quantum graphs: General framework and canonical perturbation theory
Sven Gnutzmann, Daniel Waltner
In this paper we present a general framework for solving the stationary nonlinear Schrödinger equation (NLSE) on a network of one-dimensional wires modelled by a metric graph with…