Geodesic
Fast Algorithms for Solving the Inverse Scattering Problem
Matematičeskie zametki, Tome 112 (2022) no. 2, pp. 198-217

Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of numerical solution of a nonlinear Schrödinger equation is considered from the point of view of applications to the compensation of signal distortions in a fiber optic communication line. The problem of constructing fast algorithms for the direct and inverse scattering problems for the Zakharov–Shabat system of equations is studied. An overview of the main methods used currently is given. The time complexity of the algorithms is described together with their applicability to realistic signals.
Keywords: inverse scattering problem, nonlinear Schrödinger equation, Zakharov–Shabat equations, fast algorithms. 
@article{MZM_2022_112_2_a4,
     author = {A. L. Delitsyn},
     title = {Fast {Algorithms} for {Solving} the {Inverse} {Scattering} {Problem}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {198--217},
     publisher = {mathdoc},
     volume = {112},
     number = {2},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2022_112_2_a4/}
}
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A. L. Delitsyn. Fast Algorithms for Solving the Inverse Scattering Problem. Matematičeskie zametki, Tome 112 (2022) no. 2, pp. 198-217. http://geodesic.mathdoc.fr/item/MZM_2022_112_2_a4/