Integrable partial differential equations and Lie--Rinehart algebras
arXiv:2111.10886 · doi:10.1016/j.geomphys.2022.104661
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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