Symmetry algebras of Lagrangian Liouville-type systems

Abstract

The generators and commutation relations are calculated explicitly for higher symmetry algebras of a class of hyperbolic Euler-Lagrange systems of Liouville type (in particular, for 2D Toda chains associated with semi-simple complex Lie algebras). Mathematics Subject Classification (2000): 35Q53, 37K05, 37K30.