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.

Noja, D., Rolando, S., Secchi, S. (2019). A note on sign-changing solutions to the NLS on the double-bridge graph. SYMMETRY, 11(2) [10.3390/sym11020161].

A note on sign-changing solutions to the NLS on the double-bridge graph

Noja, D
;
Rolando, S;Secchi, S
2019

Abstract

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.
Articolo in rivista - Articolo scientifico
Non-linear Schrödinger equation; Quantum graphs; Standing waves;
Non-linear Schrödinger equation; Quantum graphs; Standing waves; Computer Science (miscellaneous); Chemistry (miscellaneous); Mathematics (all); Physics and Astronomy (miscellaneous)
English
2019
11
2
161
open
Noja, D., Rolando, S., Secchi, S. (2019). A note on sign-changing solutions to the NLS on the double-bridge graph. SYMMETRY, 11(2) [10.3390/sym11020161].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/223407
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