Speaker:  Ismagil Habibullin (Ufa Federal Research Centre of Russian Academy of Science)

Date and time:  27.03.2024, 17:00 (GMT +03:00)

Title: On the classification of nonlinear integrable chains in 3D

Abstract: Nonlinear integrable equations with three independent variables, at least one of which is discrete, may admit boundary conditions that include discontinuities in the discrete variable while still maintaining the integrability of the equation. This means that by imposing these boundary conditions on the two ends of a segment, one can obtain an integrable system of two-variable equations. Integrable systems have a broad range of boundary conditions that allow for discontinuities and still maintain the integrability properties of the system. In some cases, these discontinuity conditions result in systems that are soliton-like, and it has been shown that there exists a single special discontinuity condition that yields an integrable finite system in the Darboux sense. In our recent work, we have demonstrated that this type of special reduction, which can be of arbitrary order, can be successfully applied to solve the problem of classifying three-dimensional integrable systems.

To access the online seminar please contact  Anna Tolbey bekvaanna@gmail.com