On the integrability conditions for some structures related to evolution differential equations

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dc.creatorKersten, Paul
dc.creatorKrasil'shchik, Iosif
dc.creatorVerbovetsky, Alexander
dc.date2003-10-29
dc.date2004-04-23
dc.date.accessioned2026-07-07T06:22:34Z
dc.date.available2026-07-07T06:22:34Z
dc.descriptionUsing the result by D.Gessler (Differential Geom. Appl. 7 (1997) 303-324, DIPS-9/98, http://diffiety.ac.ru/preprint/98/09_98abs.htm), we show that any invariant variational bivector (resp., variational 2-form) on an evolution equation with nondegenerate right-hand side is Hamiltonian (resp., symplectic).
dc.description5 pages, AMS-LaTeX. v2: minor corrections
dc.identifierhttps://arxiv.org/abs/math/0310451
dc.identifierhttp://arxiv.org/abs/math/0310451
dc.identifierActa Appl. Math. 83 (2004), 167-173
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95948
dc.subjectDifferential Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subjectExactly Solvable and Integrable Systems
dc.titleOn the integrability conditions for some structures related to evolution differential equations
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