Lecturer in Mathematics, Dr Pavlos Xenitidis, from the School of Mathematics, Statistics and Actuarial Science (SMSAS) at the University of Kent, to speak at the 32nd International Colloquium on Group Theoretical Methods in Physics (Group 32).
The Colloquium will take place in The Faculty of Nuclear Sciences and Physical Engineering at the Czech Technical University in Prague, Czech Republic, in July. Pavlos will be delivering a talk titled, ‘Deautonomization of integrable difference equations’.
Abstract:
Integrability conditions for dierence equations can be used not only to check the integrability of a given equation but also to compute its generalised symmetries and derive conservation laws. In this talk we explore one more application of these conditions: the construction of integrable non-autonomous equations. We demonstrate how the integrability conditions can be used to deautonomize a given autonomous equation and apply this procedure to a certain family of equations dened on an elementary quadrilateral of the Z2 lattice. In particular we show that all the non-autonomous equations we nd are related via Miura transformations to the same integrable two-quad autonomous equation. Finally we prove the integrability of the latter equation by generating an innite hierarchy of its symmetries using a local master symmetry.
Click here for more information about the Colloquium.
Dr Pavlos Xenitidis
Lecturer in Mathematics
Pavlos is a Lecturer in Mathematics and is the Seminar Organiser for the Integrable Systems and Mathematical Physics Seminars at Kent. His research interests include the classification of integrable systems, Painlevé equations, discretization of differential equations, symmetries, conservation laws and integrability tests.