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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.03709 |
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| _version_ | 1866911980750635008 |
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| author | Akramov, Mashrab Yusupov, Jambul Ehrhardt, Matthias Susanto, Hadi Matrasulov, Davron |
| author_facet | Akramov, Mashrab Yusupov, Jambul Ehrhardt, Matthias Susanto, Hadi Matrasulov, Davron |
| contents | We consider reflectionless wave propagation in networks modeled in terms of the nonlocal nonlinear Schrödinger (NNLS) equation on metric graphs, for which transparent boundary conditions are imposed at the vertices. By employing the ``potential approach" previously used for the nonlinear Schrödinger equation, we derive transparent boundary conditions for the NNLS equation on metric graphs. These conditions eliminate backscattering at graph vertices, which is crucial for minimizing losses in signal, heat, and charge transfer in various applications such as optical fibers, optoelectronic networks, and low-dimensional materials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_03709 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Transparent PT-symmetric nonlinear networks Akramov, Mashrab Yusupov, Jambul Ehrhardt, Matthias Susanto, Hadi Matrasulov, Davron Mathematical Physics Numerical Analysis Optics 65M99, 81-08, 37N20 We consider reflectionless wave propagation in networks modeled in terms of the nonlocal nonlinear Schrödinger (NNLS) equation on metric graphs, for which transparent boundary conditions are imposed at the vertices. By employing the ``potential approach" previously used for the nonlinear Schrödinger equation, we derive transparent boundary conditions for the NNLS equation on metric graphs. These conditions eliminate backscattering at graph vertices, which is crucial for minimizing losses in signal, heat, and charge transfer in various applications such as optical fibers, optoelectronic networks, and low-dimensional materials. |
| title | Transparent PT-symmetric nonlinear networks |
| topic | Mathematical Physics Numerical Analysis Optics 65M99, 81-08, 37N20 |
| url | https://arxiv.org/abs/2408.03709 |