Discrete Nonlocal Nonlinear Schroedinger equation on Metric Graphs: Dynamics of PTSymmetric Solitons in Discrete Networks
Abstract
We consider PTsymmetric, discrete nonlocal nonlinear Schrödinger equation on metric graphs. Soliton solutions are obtained for simplest graph topologies, such as star and tree graphs. Integrability of the problem is shown by proving existence of infinite number of conservation laws.
 Publication:

arXiv eprints
 Pub Date:
 May 2022
 arXiv:
 arXiv:2205.01463
 Bibcode:
 2022arXiv220501463A
 Keywords:

 Nonlinear Sciences  Exactly Solvable and Integrable Systems;
 Mathematical Physics