Unified Transform method for the Schr¨odinger Equation on a Simple Metric Graph

DOI10.17516/1997-1397-2019-12-4-412-420OpenAlexW2967725142MaRDI QIDQ5853406

Mardonbek R. Eshimbetov, G. Khudayberganov, Z. A. Sobirov

Publication date: 18 March 2021

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu776

zbMATH Keywords

Fourier transformSchrödinger equationboundary value problemmetric graphinitial problembranched structureunified transform

Mathematics Subject Classification ID

Partial differential equations (35-XX) Combinatorics (05-XX)

Related Items (3)

The Time-fractional Airy Equation on the Metric Graph ⋮ Initial boundary value problem for a time fractional wave equation on a metric graph ⋮ Fokas method for the heat equation on metric graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Eigenfunction statistics on quantum graphs
• Periodic orbit theory and spectral statistics for quantum graphs
• Airy-type evolution equations on star graphs
• A general approximation of quantum graph vertex couplings by scaled Schrödinger operators on thin branched manifolds
• Effective Schrödinger dynamics on ε-thin Dirichlet waveguides via quantum graphs: I. Star-shaped graphs
• Statistical mechanics of complex networks
• Heat equation on a network using the Fokas method
• A Unified Approach to Boundary Value Problems
• A unified transform method for solving linear and certain nonlinear PDEs

This page was built for publication: Unified Transform method for the Schr¨odinger Equation on a Simple Metric Graph