Fetching the paper…

Reading the bibliography…

2008

Integrability of Kupershmidt deformations

Kersten, Paul, Krasil'shchik, Iosif, Verbovetsky, Alexander et al.

Original
PDF
Post on X

Understand

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).

Integrability of Kupershmidt deformations · Around

Built on

Advanced Texts in Mathematics. Open Education & Sciences, Opava (1998), arXiv:math/9808130
Krasil ′ · 1998
Earlier work this paper cites.
Monograph. Amer. Math. Soc. (1999)
Bocharov, A.V., Chetverikov, V.N., Duzhin, S.V., Khor ′ · 1999
Earlier work this paper cites.
Amer. Math. Soc. (2001)
Vinogradov, A.M.: Cohomological Analysis of Partial Differential Equations and Secondary Calculus · 2001
Earlier work this paper cites.

Similar

J. Math. Phys. 49
Original
Karasu-Kalkanlı, A., Karasu, A., Sakovich, A., Sakovich, S., Turhan, R.: A new integrable generalization of the Korteweg-de Vries equation · 2008
Cited alongside, same era.
Phys. Lett. A 372
Original
Kupershmidt, B.A.: KdV6: An integrable system · 2008
Cited alongside, same era.

Then

To appear
Igonin, S., Kersten, P., Krasilshchik, I., Verbovetsky, A., Vitolo, R.: Variational brackets in the geometry of PDEs (2009) · 2009
Closest in time.
In: B. Kruglikov, V.V. Lychagin, E. Straume (eds.) Differential equations: Geometry, Symmetries and Integrability. The Abel Symposium 2008. Springer-Verlag (2009)
Kersten, P., Krasil ′ · 2009
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…