On the Trace Approach to the Inverse Scattering Problem in Dimension One. - Alexei V. Rybkin (SIAM J. Math. Anal., 2001)

Soliton Theory and Hankel Operators. - Sergei M. Grudsky; Alexei V. Rybkin (SIAM J. Math. Anal., 2015)

An analytical and numerical study of long wave run-up in U-shaped and V-shaped bays. - V. V. Garayshin; Matthew W. Harris; D. J. Nicolsky; Efim N. Pelinovsky; Alexei V. Rybkin (Appl. Math. Comput., 2016)

Method for solving hyperbolic systems with initial data on non-characteristic manifolds with applications to the shallow water wave equations. - Alexei V. Rybkin (Appl. Math. Lett., 2019)

Fast shallow water-wave solver for plane inclined beaches. - Thomas Bueler-Faudree; Sam Delamere; Denys Dutykh; Alexei V. Rybkin; Alexander Suleimani (SoftwareX, 2022)

Inverse problem for the nonlinear long wave runup on a plane sloping beach. - Alexei V. Rybkin; Efim N. Pelinovsky; Noah Palmer (Appl. Math. Lett., 2023)