Research Group:
Speaker:
Maxim Pavlov
Institution:
Lebedev Physical Institute
Schedule:
Wednesday, March 13, 2013 - 13:30 to 14:15
Location:
A-136
Abstract:
We utilize the observation made by V.V. Kozlov that the Classical Mechanics with one degree of freedom can be connected with some hydrodynamic type system. We generalize this observation and moreover prove that Classical Mechanics with one degree of freedom can be connected with hydrodynamic type systems, which are hydrodynamic reductions of the Benney hydrodynamic chain. Thus, we describe a family of Classical Mechanics with one degree of freedom parameterized by 2N arbitrary functions of a single variable. This talk is based on a small part of a common research made together with Professor Sergey Tsarev.