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

DOI10.3390/sym11020161zbMath1416.35244OpenAlexW2911307637MaRDI QIDQ2310975

Sergio Rolando, Simone Secchi, Diego Noja

Publication date: 10 July 2019

Published in: Symmetry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/sym11020161

zbMATH Keywords

quantum graphsstanding wavesnon-linear Schrödinger equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Uses Software

• DLMF

Cites Work

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• Elliptic functions and applications
• Standing waves for the NLS on the double-bridge graph and a rational-irrational dichotomy
• Ground State on the Dumbbell Graph
• Bifurcations and stability of standing waves in the nonlinear Schrödinger equation on the tadpole graph
• Nonlinear Schrödinger equation on graphs: recent results and open problems
• Nonlinear dynamics on branched structures and networks
• Ground state and orbital stability for the NLS equation on a general starlike graph with potentials

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