2024/08/07 by M. Akramov, Jambul Yusupov, Akramov, Mashrab +7
Materials Science · Physics and Astronomy · #37N20 #65M99 #81-08 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Optical Materials Research #Numerical Analysis (math.NA) #Optics (physics.optics) #Quantum Mechanics and Non-Hermitian Physics
paper · pdf · doi:10.48550/arxiv.2408.03709
openalex publication_date 2024/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.