On the 1st of October 2015, at 10:15 a.m.
Artur Sergeyev (SU Opava)
will give a talk on
"New integrable systems in 3+1 dimensions from contact geometry"
Abstract
We introduce a new kind of nonisospectral Lax representation, contact
Lax pair, related to contact geometry. The compatibility conditions
for the contact Lax pairs yield a broad new class of (3+1)-dimensional
integrable systems, thus demonstrating that such systems are
considerably less exceptional than it was generally believed.
To illustrate our results, we present, inter alia, a new
(3+1)-dimensional integrable system with an arbitrarily large finite
number of components. In the simplest special case, this system yields
a (3+1)-dimensional integrable generalization of the dispersionless
Kadomtsev—Petviashvili equation.
The seminar takes place on Thursdays from 10:15 a.m. to 12:00
in the room 2.23 of the main building of the Faculty of Physics (the 2nd floor), Pasteur Str. 5,
Warszawa.
Additional information can be found on the webpage
http://oldwww.fuw.edu.pl/KMMF/sem.czw.przedp.html.
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