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 (23)
- Alice-Bob Physics: Coherent Solutions of Nonlocal KdV Systems
- General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions
- Nonlinear Schrödinger equation on graphs: recent results and open problems
- Soliton solutions of nonlinear Schroedinger equation on simple networks
- Negative energy ground states for the -critical NLSE on metric graphs
- 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
- Stationary Nonlinear Schrödinger Equation on Simplest Graphs: Boundary conditions and exact solutions
- Spectral stability of shifted states on star graphs
- On the Inverse Scattering Method for Integrable PDEs on a Star Graph
- Sine-Gordon solitons in networks: Scattering and transmission at vertices
- Dynamics of Dirac solitons in networks
- Transparent Quantum Graphs
- Soliton generation in optical fiber networks
- Transparent nonlinear networks
- Nonlocal Nonlinear Schrodinger Equation on Metric Graphs
- PT-symmetric quantum graphs
- Charged solitons in branched conducting polymers
- Exciton dynamics in branched conducting polymers: Quantum graphs based approach
- Rogue Waves and Periodic Solutions of a Nonlocal Nonlinear Schrödinger Model
- Reflectionless propagation of Manakov solitons on a line:A model based on the concept of transparent boundary conditions
- Variational approximations of soliton dynamics in the Ablowitz-Musslimani nonlinear Schrödinger equation