Bicomplexes and Conservation Laws in Non-Abelian Toda Models

Abstract

A bicomplex structure is associated to the Leznov-Saveliev equation of integrable models. The linear problem associated to the zero curvature condition is derived in terms of the bicomplex linear equation. The explicit example of a Non-Abelian Conformal Affine Toda model is discussed in detail and its conservation laws are derived from the zero curvature representation of its equation of motion.

latex, 9 pages

References in corpus (5)

• Bicomplexes, Integrable Models, and Noncommutative Geometry
• Bicomplexes and Integrable Models
• Massive Symmetric Space sine-Gordon Soliton Theories and Perturbed Conformal Field Theory
• Bicomplex formulation and Moyal deformation of (2+1)-dimensional Fordy-Kulish systems
• Dyonic Integrable Models

Cited by in corpus (1)

• Bidifferential graded algebras and integrable systems