On the nodal structure of nonlinear stationary waves on star graphs

DOI10.3390/sym11020185zbMath1416.81066DBLPjournals/symmetry/BandGK19arXiv1901.04275OpenAlexW3102087461WikidataQ62596096 ScholiaQ62596096MaRDI QIDQ2310989

Sven Gnutzmann, Ram Band, August J. Krueger

Publication date: 10 July 2019

Published in: Symmetry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.04275

zbMATH Keywords

nonlinear Schrödinger equationquantum graphsnodal structure

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) 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)

Related Items (1)

Standing waves on quantum graphs

Uses Software

• DLMF

Cites Work

• Unnamed Item
• The number of nodal domains on quantum graphs as a stability index of graph partitions
• A lower bound for nodal count on discrete and metric graphs
• Oscillation properties of the spectrum of a boundary value problem on a graph
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• The nodal count {0,1,2,3,…} implies the graph is a tree
• Stability of eigenvalues of quantum graphs with respect to magnetic perturbation and the nodal count of the eigenfunctions
• Remarks on courant's nodal line theorem
• Anomalous nodal count and singularities in the dispersion relation of honeycomb graphs
• Eigenvalue and nodal properties on quantum graph trees*
• Nonlinear Sturm oscillation: From the interval to a star
• Nodal counting on quantum graphs

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