Speaker
Prof.
Artur Sergyeyev
(Silesian University in Opava)
Description
We show in a constructive fashion that, contrary to the long-held belief, there is plenty of nonlinear partial differential systems in four independent variables that are integrable in the sense of soliton theory beyond a few previously known examples like (anti-)self-dual Yang--Mills equations or (anti-)self-dual vacuum Einstein equations.
Namely, using a novel class of Lax pairs related to contact geometry, we present infinitely many new examples of integrable systems in four independent variables.
For further details, please see A. Sergyeyev, Multidimensional integrable systems from contact geometry. Bol. Soc. Mat. Mex. 31 (2025), art. 26, arXiv:2501.04474
Primary author
Prof.
Artur Sergyeyev
(Silesian University in Opava)