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On the euler equation: Bi-Hamiltonian structure and integrals in involution

โœ Scribed by Carlo Morosi; Livio Pizzocchero

Publisher
Springer
Year
1996
Tongue
English
Weight
792 KB
Volume
37
Category
Article
ISSN
0377-9017

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โœฆ Synopsis

We propose a bi-Hamiltonian formulation of the Euler equation for the free n-dimensional rigid body moving about a fixed point. This formulation lives on the 'physical' phase space so(n), and is different from the bi-Hamiltonian formulation on the extended phase space sl(n), considered previously in the literature. Using the bi-Hamiltonian structure on so(n), we construct new recursion schemes for the Mishchenko and Manakov integrals of motion.

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