NLS bifurcations on the bowtie combinatorial graph and the Dumbbell metric graph

DOI10.3934/dcds.2019093zbMath1410.35266arXiv1710.00030OpenAlexW2963545193WikidataQ128550290 ScholiaQ128550290MaRDI QIDQ1737081

Roy H. Goodman

Publication date: 26 March 2019

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.00030

zbMATH Keywords

bifurcationreduced modelsnonlinear Schrödinger equationquantum graphsstanding wave

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Bifurcations in context of PDEs (35B32) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items

Standing waves on quantum graphs, Gradient flow approach to the calculation of stationary states on nonlinear quantum graphs, Numerical simulations on nonlinear quantum graphs with the GraFiDi library, Orbital instability of standing waves for NLS equation on star graphs, Limiting eigenfunctions of Sturm-Liouville operators subject to a spectral flow, Multi-pulse edge-localized states on quantum graphs, Uniqueness and non-uniqueness of prescribed mass NLS ground states on metric graphs, Drift of Spectrally Stable Shifted States on Star Graphs, Edge-localized states on quantum graphs in the limit of large mass, Soliton and breather splitting on star graphs from tricrystal Josephson junctions

Uses Software

• MATCONT
• Mathematica
• Matlab
• DLMF

Cites Work

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• MATCONT