Abstract
In this chapter, we apply the algebraic formalism of Chapter 4 to the specific case of partial differential equations. Namely, we consider a formally integrable equation ε ⊂ J k(π), π: E → M, taking the associated triple (C ∞(M),F(ε),π* ∞) for the algebra with flat connection, where F(ε) = ⋃ k F k (ε) is the algebra of smooth functions onε ∞, π∞: ε ∞ → M is the natural projection and the Cartan connection C plays the role of ∇.
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© 2000 Springer Science+Business Media Dordrecht
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Krasil’ shchik, I.S., Kersten, P.H.M. (2000). Deformations and recursion operators. In: Symmetries and Recursion Operators for Classical and Supersymmetric Differential Equations. Mathematics and Its Applications, vol 507. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3196-6_5
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DOI: https://doi.org/10.1007/978-94-017-3196-6_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5460-9
Online ISBN: 978-94-017-3196-6
eBook Packages: Springer Book Archive