Integrable partial differential equations and Lie--Rinehart algebras

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.

References in corpus (2)

• On the Structure of Lie Pseudo-Groups
• Lax representations with non-removable parameters and integrable hierarchies of PDEs via exotic cohomology of symmetry algebras

Cited by in corpus (1)

• Extensions of the symmetry algebra and Lax representations for the two-dimensional Euler equation