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Standing waves on quantum graphs
Journal article

Standing waves on quantum graphs

Abstract

We review evolutionary models on quantum graphs expressed by linear and nonlinear partial differential equations. Existence and stability of the standing waves trapped on quantum graphs are studied by using methods of the variational theory, dynamical systems on a phase plane, and the Dirichlet-to-Neumann mappings.

Authors

Kairzhan A; Noja D; Pelinovsky DE

Journal

Journal of Physics A: Mathematical and Theoretical, Vol. 55, No. 24,

Publisher

IOP Publishing

Publication Date

June 17, 2022

DOI

10.1088/1751-8121/ac6c60

ISSN

1751-8113

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