Article

Transparent PT-symmetric nonlinear networks

M. AkramovNational University of Uzbekistan, Universitet Str. 4, 100174, Tashkent, UzbekistanJambul YusupovKimyo International University in Tashkent, 156 Usman Nasyr Str., 100121, Tashkent, UzbekistanMatthias EhrhardtBergische Universität Wuppertal, Gaußstrasse 20, D-42119 Wuppertal, GermanyH. SusantoKhalifa University, PO Box127788, Abu Dhabi, United Arab EmiratesD. U. MatrasulovTashkent University of Architecture and Civil Engineering, Yangishahar Str. 9A, 100095 Tashkent, Uzbekistan

Physica Scriptajournal2025en

ABI

Abstract

Abstract We study reflectionless wave propagation in networks modeled by the nonlocal nonlinear Schrödinger equation on metric graphs, with transparent boundary conditions applied at the vertices. Using a ‘potential approach’ previously developed for the nonlinear Schrödinger equation, we derive transparent boundary conditions specific to the nonlocal nonlinear Schrödinger equation on metric graphs. These conditions prevent backscattering at the vertices, which is essential for reducing losses in signal, heat, and charge transfer in applications including optical fibers, optoelectronic networks, and low-dimensional materials.

Topics

Quantum Mechanics and Non-Hermitian Physics Nonlinear Optical Materials Research

Identifiers

DOI: 10.1088/1402-4896/adb914

Citations and references

Cited by 6 40 references

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