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arxiv: 1901.10474 · v1 · pith:4TDV33SCnew · submitted 2019-01-29 · 🌊 nlin.PS · nlin.SI

Networks with point like nonlinearities

classification 🌊 nlin.PS nlin.SI
keywords networksnonlinearnonlinearitiesbifurcationsboundarybreakingcausedconditions
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We study static nonlinear waves in networks described by a nonlinear Schrodinger equation with point-like nonlinearities on metric graphs. Explicit solutions fulfilling vertex boundary conditions are obtained. Spontaneous symmetry breaking caused by bifurcations is found.

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