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math.CA2025
Approximate direct and inverse scattering for the AKNS system
Vladislav V. Kravchenko
We study the direct and inverse scattering problems for the AKNS (Ablowitz-Kaup-Newell-Segur) system. New representations for the Jost solutions are obtained in the form of the pow…
math.CA2025
Reconstruction techniques for inverse Sturm-Liouville problems with complex coefficients
Vladislav V. Kravchenko
A variety of inverse Sturm-Liouville problems is considered, including the two-spectrum inverse problem, the problem of recovering the potential from the Weyl function, as well as…