Manakov system on metric graphs: Modeling the reflectionless propagation of vector solitons in networks
arXiv:2206.01283 · doi:10.1016/j.physleta.2023.128928
Abstract
We consider the reflectionless transport of Manakov solitons in networks. The system is modelled in terms of the Manakov system on metric graphs subject to transparent boundary conditions at the branching points. Simple constraints combining the equivalent usual Kirchhoff vertex conditions with the transparent conditions are derived in terms of nonlinearity coefficients. Although the method is used for a metric star graph, an extension to more complicated graph topologies is easily possible.
References in corpus (6)
- Fast solitons on star graphs
- Soliton transport in tubular networks: transmission at vertices in the shrinking limit
- Standing waves on quantum graphs
- Quantum graphs where back-scattering is prohibited
- Reflectionless propagation of Manakov solitons on a line:A model based on the concept of transparent boundary conditions
- Discrete Nonlocal Nonlinear Schroedinger equation on Metric Graphs: Dynamics of PT-Symmetric Solitons in Discrete Networks