Speaker
Artur Sergyeyev
(Silesian University in Opava)
Description
We present novel integrable (3+1)-dimensional generalizations for the following (2+1)-dimensional integrable systems: dispersionless BKP, dispersionless asymmetric Nizhnik--Veselov--Novikov, dispersionless Gardner, and dispersionless modified KP equations, and the generalized Benney system. All these new (3+1)-dimensional integrable systems are found using our general construction for a large new class of (3+1)-dimensional integrable systems with nonisospectral Lax pairs involving contact vector fields.
For further details, please see A. Sergyeyev, Multidimensional integrable systems from contact geometry. Bol. Soc. Mat. Mex. 31 (2025), art. 26, arXiv:2501.04474.