Title:

Infinitely many new (3+1)-dimensional integrable systems from contact geometry

Abstract:

For a long time it appeared that nonlinear partial differential
systems in four independent variables that are integrable in the Lax
sense are quite scarce. In this talk we dispel this misconception by
presenting an effective explicit construction for a large new class of
such systems which includes infinitely many systems with polynomial
and rational nonisospectral Lax pairs of a novel kind involving
contact vector fields. For further details please see
https://doi.org/j3b6