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

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dc.creatorChavchanidze, George
dc.date2001-06-20
dc.date2002-06-10
dc.date.accessioned2026-07-07T04:28:31Z
dc.date.available2026-07-07T04:28:31Z
dc.descriptionIn 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.
dc.descriptionLaTeX 2e, 5 pages, no figures
dc.identifierhttps://arxiv.org/abs/math-ph/0106018
dc.identifierhttp://arxiv.org/abs/math-ph/0106018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56816
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.subjectSymplectic Geometry
dc.subject70H33, 70H06, 53Z05
dc.titleBi-Hamiltonian structure as a shadow of non-Noether symmetry
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