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.

Int. workshop "Nonlinear Physics: Theory and Experiment V" (Gallipoli, June 12-21, 2008); 15 pages

References in corpus (3)

• Algebraic properties of Gardner's deformations for integrable systems
• Involutive distributions of operator-valued evolutionary vector fields
• A geometric derivation of KdV-type hierarchies from root systems

Cited by in corpus (10)

• Rational recursion operators for integrable differential-difference equations
• The calculus of multivectors on noncommutative jet spaces
• Variational Lie algebroids and homological evolutionary vector fields
• A family of second Lie algebra structures for symmetries of dispersionless Boussinesq system
• The deformation quantization mapping of Poisson- to associative structures in field theory
• Involutive distributions of operator-valued evolutionary vector fields and their affine geometry. II
• Formal Integrals and Noether Operators of Nonlinear Hyperbolic Partial Differential Systems Admitting a Rich Set of Symmetries
• Homological evolutionary vector fields in Korteweg-de Vries, Liouville, Maxwell, and several other models
• Lax Pair for a Novel Two-Dimensional Lattice
• A convenient criterion under which Z_2-graded operators are Hamiltonian