Integrability of Kupershmidt Deformations

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Kersten, P.H.M. and Krasil'shchik, I.S. and Verbovetsky, A.M. and Vitolo, R. (2010) Integrability of Kupershmidt Deformations. Acta Applicandae Mathematicae, 109 (1). pp. 75-86. ISSN 0167-8019

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Abstract:We prove that the Kupershmidt deformation of a bi-Hamiltonian system is itself bi-Hamiltonian. Moreover, Magri hierarchies of the initial system give rise to Magri hierarchies of Kupershmidt deformations as well. Since Kupershmidt deformations are not written in evolution form, we start with an outline a geometric framework to study Hamiltonian properties of general non-evolution differential equations, developed in Igonin et al. (to appear, 2009) (see also Kersten et al., In: Differential Equations: Geometry, Symmetries and Integrability, Springer, Berlin, 2009).
Item Type:Article
Copyright:© 2010 Springer
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/69569
Official URL:http://dx.doi.org/10.1007/s10440-009-9442-4
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