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arXiv · 2205.01463

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

M. Akramov·F. Khashimova·D. Matrasulov
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Abstract

We consider PT-symmetric, discrete nonlocal nonlinear Schr\"{o}dinger 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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M. Akramov, F. Khashimova, D. Matrasulov. 2022-05-03. Discrete Nonlocal Nonlinear Schroedinger equation on Metric Graphs: Dynamics of PT-Symmetric Solitons in Discrete Networks. https://doi.org/10.1016/j.physleta.2022.128555

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