Advanced mathematical methods for optical fiber communications
Transcript of scientific report at the meeting of the Presidium of NAS of Ukraine, March 25, 2026
DOI:
https://doi.org/10.15407/visn2026.06.031Abstract
The report focuses on overcoming the “nonlinear capacity crisis” in modern fiber-optic networks using the framework of integrable systems. The application of the nonlinear Fourier transform (NFT) and the Riemann—Hilbert problem for data encoding and transmission is discussed. The results of numerical simulations of periodic NFT systems, developed in collaboration with the Aston Institute of Photonic Technologies (UK), are presented, demonstrating signal resilience to nonlinear distortions. The prospects for the implementation of specialized computing tools for the realization of these mathematical methods in telecommunications engineering are outlined.
Cite this article:
Shepelsky D.G. Advanced mathematical methods for optical fiber communications (transcript of scientific report at the meeting of the Presidium of NAS of Ukraine, March 25, 2026). Visn. Nac. Akad. Nauk Ukr. 2026. (6): 31—37. https://doi.org/10.15407/visn2026.06.031
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