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