Discrete Nonlocal Nonlinear Schroedinger equation on Metric Graphs: Dynamics of PT-Symmetric Solitons in Discrete Networks

DOI10.1016/J.PHYSLETA.2022.128555zbMath1511.81022arXiv2205.01463MaRDI QIDQ6398130

F. Khashimova, D. U. Matrasulov, M. Akramov

Publication date: 3 May 2022

Mathematics Subject Classification ID

Trees (05C05) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Groups and algebras in quantum theory and relations with integrable systems (81R12) Transport processes in time-dependent statistical mechanics (82C70) Discrete version of topics in analysis (39A12) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

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