Exponential Fourth Order Schemes for Direct Zakharov-Shabat problem. - Sergey B. Medvedev; Irina Vaseva; Igor S. Chekhovskoy; Mikhail P. Fedoruk (CoRR, 2019)

Fast Computation of the Direct Scattering Transform by Fourth Order Conservative Multi-Exponential Scheme. - Sergey B. Medvedev; Igor S. Chekhovskoy; Irina Vaseva; Mikhail P. Fedoruk (CoRR, 2019)

Fast sixth-order algorithm based on the generalized Cayley transform for the Zakharov-Shabat system in optical applications. - Sergey B. Medvedev; Igor S. Chekhovskoy; Irina Vaseva; Mikhail P. Fedoruk (CoRR, 2020)

Introducing phase jump tracking - a fast method for eigenvalue evaluation of the direct Zakharov-Shabat problem. - Igor S. Chekhovskoy; Sergey B. Medvedev; Irina Vaseva; Egor Sedov; Mikhail P. Fedoruk (Commun. Nonlinear Sci. Numer. Simul., 2021)

Processing of optical signals by "surgical" methods for the Gelfand-Levitan-Marchenko equation. - Sergey B. Medvedev; Irina Vaseva; Mikhail P. Fedoruk (CoRR, 2021)

Fast sixth-order algorithm based on the generalized Cayley transform for the Zakharov-Shabat system associated with nonlinear Schrodinger equation. - Sergey B. Medvedev; Igor Chekhovskoy; Irina Vaseva; Mikhail P. Fedoruk (J. Comput. Phys., 2022)

High-Order Block Toeplitz Inner-Bordering method for solving the Gelfand-Levitan-Marchenko equation. - Sergey B. Medvedev; Irina Vaseva; Michael P. Fedoruk (Commun. Nonlinear Sci. Numer. Simul., 2024)