Bi-Hamiltonian structure as a shadow of non-Noether symmetry

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In the present paper correspondence between non-Noether symmetries and bi-Hamiltonian structures is disscussed. We show that in regular Hamiltonian systems presence of the global bi-Hamiltonian structure is caused by symmetry of the space of solution. As an example well known bi-Hamiltonian realisation of Korteweg- De Vries equation is disscussed.
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Mathematical Physics, Dynamical Systems, Symplectic Geometry, 70H33, 70H06, 53Z05

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http://salesiana.dossiersoluciones.com/handle/123456789/56816

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0106018
 http://arxiv.org/abs/math-ph/0106018

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arXiv