Standing waves on quantum graphs
From MaRDI portal
Publication:5048875
DOI10.1088/1751-8121/ac6c60OpenAlexW4225376269MaRDI QIDQ5048875
Dmitry E. Pelinovsky, Diego Noja, Adilbek Kairzhan
Publication date: 16 November 2022
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.08114
nonlinear Schrödinger equationMorse indexvariational techniquequantum graphsstanding wavesperiod functionDirichlet-to-Neumann mappings
NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
Related Items (7)
Normalized solutions to mass supercritical Schrödinger equations with negative potential ⋮ Doubly nonlinear Schrödinger ground states on metric graphs ⋮ Tunnel effect and analysis of the survival amplitude in the nonlinear Winter's model ⋮ Ground states for the NLS equation with combined local nonlinearities on noncompact metric graphs ⋮ Normalized solutions of L 2-supercritical NLS equations on noncompact metric graphs with localized nonlinearities ⋮ Manakov system on metric graphs: modeling the reflectionless propagation of vector solitons in networks ⋮ On the notion of ground state for nonlinear Schrödinger equations on metric graphs
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