On February 7, the Faculty of Mathematics and Computer Science hosted the first seminar in the series led by Alexey Shabat, PhD (Landau Institute of Theoretical and Theoretical Physics of the Russian Academy of Sciences) whom CMC invited to come to ASU.

The first seminar of the second semester was organized by A.Shabat together with R.Kulaev, PhD (North Ossetian State University). The seminar was dedicated to R.Miura.

The name of R. Miura is connected to the transformation (differential substitution) which unites a pair of partial differential equations that have solutions of the solitary wave type called solitons. The peculiarity of these waves is that, in the interaction, they retain their individuality and model particle-like solutions. The connection between the solutions of these equations, generally speaking, is irreversible and is one-sided. Robert M. Miura in 1967 showed that for the KdV equation, the problem of constructing a differential substitution is correct.

Although the transformation (0.1) does not in itself simplify the solution of the Korteweg-de Vries equation since it connects the solutions of two nonlinear equations, nevertheless, this transformation was the key to the discovery of the inverse scattering method and the development of a symmetry approach to the integrability problem.