Works citing this work

5 works

Work: A General Approximation of Quantum Graph Vertex Couplings by Scaled Schrödinger Operators on Thin Branched Manifolds

1. Soliton transport in tubular networks: Transmission at vertices in the shrinking limit

   Hannes Uecker, Daniel Grieser, Z. A. Sobirov +2

   ArticleNonlinear Photonic SystemsPhysical Review E201523 citations

   ABIABI:AkademIndex/openalex/2015.article.000042

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

   Gulmirza Khudayberganov, Z. A. Sobirov, M. R. Eshimbetov

   ArticlePhotonic and Optical DevicesJournal of Siberian Federal University Mathematics & Physics20194 citations

   ABIABI:AkademIndex/openalex/2026.other.316505

3. Fokas Method for the Heat Equation on Metric Graphs

   Z. A. Sobirov, M. R. Eshimbetov

   Articleadvanced mathematical theoriesJournal of Mathematical Sciences20241 citations

   ABIABI:AkademIndex/openalex/2024.article.003282

4. Approximations of Quantum-Graph Vertex Couplings by Singularly Scaled Rank-One Operators

   Pavel Exner, Stepan S Manko

   ArticleSpectral Theory in Mathematical PhysicsLetters in Mathematical Physics20140 citations

   ABIABI:AkademIndex/openalex/2014.article.000106

5. Resonances in Quantum Networks and Their Generalizations

   Pavel Exner

   ChapterSpectral Theory in Mathematical PhysicsNATO science for peace and security series. C, Environmental security20140 citations

   ABIABI:AkademIndex/openalex/2014.chapter.000005