School Seminars and Colloquia

New Variational Principle for Integrable Systems

Colloquium

by Professor Frank W Nijhoff


Institution: University of Leeds
Date: Tue 28th February 2012
Time: 12:00 PM
Location: Richard Berry Building - Russell Love Theatre

Abstract: Many integrable systems are characterized by the property of multidimensional consistency,i.e. the phenomenon that the relevant equation can be embedded in a higher-dimensional space-time in a consistent way.This could happen for differential equations admitting hierarchies of compatible equations, or for discrete systems on lattices which can be covariantly embedded in multidimensional discrete space-time. Recently [Lobb&Nijhoff,2009] a Lagrangian formulation was proposed for this phenomenon based on the idea of "Lagrangian multiforms". We discuss the corresponding variational principle and present several examples in 1 and 2 dimensions.

For More Information: contact Guoqi Qian, g.qian@ms.unimelb.edu.au

Colloquium Website