A model with generalized Y-junction
P. N. Bibikov, L. V. Prokhorov

TL;DR
This paper investigates the Klein-Fock-Gordon equation on a generalized Y-junction with N strings and a massive center, deriving formulas for wave scattering and normal modes.
Contribution
It introduces a model for wave dynamics on a generalized Y-junction with a massive center, providing new analytical formulas.
Findings
Formulas for wave scattering on the Y-junction
Normal mode solutions for the system
Extension of wave analysis to N-string junctions
Abstract
The Klein-Fock-Gordon equation is studied on the generalized Y-junction of strings with a massive center. The corresponding formulas for wave scattering and normal modes are obtained.
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Taxonomy
TopicsNonlinear Photonic Systems · Advanced Mathematical Physics Problems · Quantum chaos and dynamical systems
