Seminar (online): P. Xenitidis "Symmetries and Integrability of Difference Equations"

Опубликовано A.Tolbey - вт, 30/03/2021 - 18:21

Speaker:  Pavlos Xenitidis (Liverpool Hope University, UK)

Date and time:  07.04.2021, 17:00 (GMT +03:00)

Title: Symmetries and Integrability of Difference Equations

Abstract:  Symmetries provide arguably the most reliable means to test and prove the integrability of a given equation. They are used in the analysis and classification of partial differential equations and differential-difference equations since 1970’s and 1980’s, and only very recently this approach has been extended to partial difference equations. In this talk I will consider a class of partial difference equations in two dimensions and discuss the general form of their symmetries. I will derive necessary integrability conditions for these equations and explain how they lead to symmetries and conservation laws. I will also demonstrate how symmetries can be used to find solutions and reduce a partial difference equation to discrete Painlevé type equations. Finally, I will discuss several extensions of the theory to other classes of scalar equations and to systems of difference equations.

To access the online seminar please contact  Anna Tolbey

Дата мероприятия
ср, 07/04/2021 - 17:00