Lax representations via extensions and deformations of Lie symmetry algebras

Abstract: The challenging problem in the theory of integrable partial differential equations is to find conditions that are formulated in inherent terms of a PDE under study and ensure existence of a Lax representation. The talk will present the technique for constructing Lax representations via extensions of the contact symmetry algebras of PDEs. Also I will show examples that use deformations of infinite-dimensional Lie algebras for searching new integrable PDEs.

mathematical physicsanalysis of PDEsdifferential geometry

Audience: researchers in the topic

( slides | video )

Geometry of differential equations seminar