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arXiv · 0812.4902

Integrability of Kupershmidt deformations

Paul Kersten·Iosif Krasil'shchik·Alexander Verbovetsky·Raffaele Vitolo
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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 [2] (see also arXiv:0812.4895).

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Paul Kersten, Iosif Krasil'shchik, Alexander Verbovetsky, Raffaele Vitolo. 2009-02-06. Integrability of Kupershmidt deformations. https://doi.org/10.1007/s10440-009-9442-4

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