Lagrangian formulation of multidimensionally consistent systems

Pavlos Xenitidis (Leeds)

Tuesday 27th April, 2010 15:00-16:00 Mathematics Building, room 204


Lagrangian multi-forms for certain discrete equations were presented recently by Lobb and Nijhoff. The former are a manifestation of the multidimensional consistency of the latter on the Lagrangian level. In this talk, we will extend these ideas to differential equations. Specifically, using multidimensionally consistent discrete equations and their symmetries, we will derive systems of partial differential equations, the consistency of which is a consequence of their construction. The consistency property will also be established on the Lagrangian level by deriving proper Lagrangian multi-forms.

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