Applications of Nijenhuis geometry III: Frobenius pencils and compatible non-homogeneous Poisson structures

We consider multicomponent local Poisson structures of the form P3 + P1, under the assumption that the third order term P3 is Darboux-Poisson and non-degenerate, and study the Poisson compatibility of two such structures. We give an algebraic interpretation of this problem in terms of Frobenius alge...

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Bibliographic Details

Main Authors:	Alexey Bolsinov, Andrey Konyaev, Vladimir Matveev
Format:	Default Article
Published:	2023
Subjects:	Pure mathematics Nijenhuis operators Compatible Poisson brackets Integrable PDE systems Dispersive perturbation Differential geometric Poisson brackets Frobenius algebras
Online Access:	https://hdl.handle.net/2134/22220077.v1
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