Discrete Nonlocal Nonlinear Schroedinger equation on Metric Graphs: Dynamics of PT-Symmetric Solitons in Discrete Networks
arXiv:2205.01463 · doi:10.1016/j.physleta.2022.128555
Abstract
We consider PT-symmetric, 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.
References in corpus (6)
- Fast solitons on star graphs
- Integrable nonlocal asymptotic reductions of physically significant nonlinear equations
- Soliton transport in tubular networks: transmission at vertices in the shrinking limit
- On the Inverse Scattering Method for Integrable PDEs on a Star Graph
- Nonlocal Nonlinear Schrodinger Equation on Metric Graphs
- Variational approximations of soliton dynamics in the Ablowitz-Musslimani nonlinear Schrödinger equation