Transparent nonlinear networks
We consider the reflectionless transport of solitons in networks. The system is modeled in terms of the nonlinear Schr\"odinger equation on metric graphs, for which transparent boundary conditions at the branching points are imposed. This allows to derive simple constraints, which link equivalent usual Kirchhoff-type vertex conditions to the transparent ones. Our approach is applied to a metric star graph. An extension to more complicated graph topologies is straight forward.
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Pattern Formation and Solitons
Superconductivity
Mathematical Physics
Mathematical Physics
Exactly Solvable and Integrable Systems
Optics