VII-th International Conference "SOLITONS, COLLAPSES AND TURBULENCE: Achievements, Developments and Perspectives" (SCT-14) in honor of Vladimir Zakharov's 75th birthday
August, 04-08, 2014
Chernogolovka, Russia

On the averaged multi-dimensional Poisson brackets
Date/Time: 17:30 06-Aug-2014
We consider the averaging of local field-theoretic Poisson brackets in
the multi-dimensional case. As a result, we construct a local Poisson
bracket for the regular Whitham system in the multidimensional situation.
As can be shown, the special features of the space of modulated parameters
in higher dimensions lead to a different natural class of the averaged
brackets in comparison with the one-dimensional situation. We suggest
a direct procedure of construction of the bracket for the Whitham system
for $d > 1$ and discuss the conditions of applicability of the
corresponding scheme. At the end, we discuss canonical forms of the
averaged Poisson bracket in the multidimensional case.

Maltsev Andrei (Presenter)
(no additional information)

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