• Corpus ID: 248505853

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

@inproceedings{Akramov2022DiscreteNN,
  title={Discrete Nonlocal Nonlinear Schroedinger equation on Metric Graphs: Dynamics of PT-Symmetric Solitons in Discrete Networks},
  author={M. Akramov and F. Khashimova and D. U. Matrasulov},
  year={2022}
}
We consider PT-symmetric, discrete nonlocal nonlinear Schr¨odinger 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. 

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