A Note on Sign-Changing Solutions to the NLS on the Double-Bridge Graph

A Note on Sign-Changing Solutions to the NLS on the Double-Bridge Graph

We study standing waves of the NLS equation posed on the double-bridge graph: two semi-infinite half-lines attached at a circle. At the two vertices, Kirchhoff boundary conditions are imposed. We pursue a recent study concerning solutions nonzero on the half-lines and periodic on the circle, by prov...

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Veröffentlicht in:Symmetry (Basel) 2019-02, Vol.11 (2), p.161
Hauptverfasser: Noja, Diego, Rolando, Sergio, Secchi, Simone
Format: Artikel
Sprache:eng
Schlagworte:
Apexes
Boundary conditions
Graph theory
non-linear Schrödinger equation
quantum graphs
Standing waves
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Zusammenfassung:We study standing waves of the NLS equation posed on the double-bridge graph: two semi-infinite half-lines attached at a circle. At the two vertices, Kirchhoff boundary conditions are imposed. We pursue a recent study concerning solutions nonzero on the half-lines and periodic on the circle, by proving some existing results of sign-changing solutions non-periodic on the circle.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym11020161