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Integrable partial differential equations and Lie--Rinehart algebras

Published 21 Nov 2021 in nlin.SI | (2111.10886v3)

Abstract: We develop the method for constructing Lax representations of PDEs via the twisted extensions of their algebras of contact symmetries by generalizing the construction to the Lie--Rinehart algebras. We present examples of application of the proposed technique.

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