Speaker: Maxim Pavlov, Lebedev Physical Institute, Moscow, Russia
Date and time: 26.04.2023, 17:00 Moscow time (17:00 Helsinki time, 16:00 Berlin time and 15:00 London time).
Title: Extended KP hierarchy and its two-dimensional reductions
Abstract: Conventionally, the KP hierarchy can be divided into several parts:
1. purely differential part (obtained from the compatibility conditions of differential operators);
2. pseudo-differential part (obtained from the compatibility conditions of pseudo-differential operators);
3. semi-discrete part (obtained from the compatibility conditions of differential and difference operators);
4. purely discrete part (obtained from the compatibility conditions of difference operators).
The restriction of these operators to the stationary case leads to two-dimensional reductions.
Thus, three-dimensional equations will be constructed from the KP hierarchy, as well as their two-dimensional reductions.
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