Oliveri F. Lie remarkable systems of PDEs characterized by affine and projective transformations (abstract)

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Speaker: Francesco Oliveri

Title: Lie remarkable systems of PDEs characterized by affine and projective transformations

Abstract:
Within the framework of inverse Lie problems, we give some non-trivial examples of coupled Lie remarkable equations, i.e., classes of partial differential equations that are uniquely characterized by their Lie point symmetries. In particular, we find second and third order systems of partial differential equations in correspondence to affine and projective transformations.

Slides: OliveriTrieste2018slides.pdf

Event: Local and Nonlocal Geometry of PDEs and Integrability, 8-12 October 2018, SISSA, Trieste, Italy.
The conference in honor of Joseph Krasil'shchik's 70th birthday.