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Title: On a class of integrable systems of Monge-Ampere type
Authors: Doubrov, B.
Ferapontov, E.V.
Kruglikov, B.
Novikov, V.S.
Keywords: System of Monge-Ampere type
Heavenly-type equation
Skew-symmetric matrix pencil
Jordan-Kronecker normal form
Dispersionless Lax representation
Linear section of the Grassmannian
Issue Date: 2017
Publisher: AIP Publishing
Citation: DOUBROV, B. ... et al, 2017. On a class of integrable systems of Monge-Ampere type. Journal of Mathematical Physics, 58(6): 063508.
Abstract: We investigate a class of multi-dimensional two-component systems of Monge-Ampere type that can be viewed as generalisations of heavenly-type equations appearing in self-dual Ricci-flat geometry. Based on the Jordan-Kronecker theory of skew-symmetric matrix pencils, a classification of normal forms of such systems is obtained. All two-component systems of Monge-Ampere type turn out to be integrable, and can be represented as the commutativity conditions of parameter-dependent vector fields. Geometrically, systems of Monge-Ampere type are associated with linear sections of the Grassmannians. This leads to an invariant differential-geometric characterisation of the Monge-Ampere property.
Description: Reproduced from DOUBROV, B. ... et al, 2017. On a class of integrable systems of Monge-Ampere type. Journal of Mathematical Physics, 58(6): 063508, with the permission of AIP Publishing
Version: Accepted for publication
DOI: 10.1063/1.4984982
URI: https://dspace.lboro.ac.uk/2134/25223
Publisher Link: https://doi.org/10.1063/1.4984982
ISSN: 0022-2488
Appears in Collections:Published Articles (Maths)

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