Multidimensional Toda type systems

Abstract

On the base of Lie algebraic and differential geometry methods, a wide class of multidimensional nonlinear systems is obtained, and the integration scheme for such equations is proposed.

29 pages, LaTeX file

References in corpus (2)

• Affine Toda Systems Coupled to Matter Fields
• Higher Grading Generalisations of the Toda Systems

Cited by in corpus (19)

• A New Approach to Integrable Theories in any Dimension
• Integrable Hierarchy for Multidimensional Toda Equations and Topological-Anti-topological Fusion
• Toda equations associated with loop groups of complex classical Lie groups
• Confinement and soliton solutions in the SL(3) Toda model coupled to matter fields
• On Z-gradations of twisted loop Lie algebras of complex simple Lie algebras
• Nonlinear PDE aspects of the tt* equations of Cecotti and Vafa
• The rational dressing for abelian twisted loop Toda systems
• Nonabelian Toda equations associated with classical Lie groups
• Solitons of the (2+2)-dimensional Toda lattice
• On classification of non-abelian Toda systems
• W-algebras for non-abelian Toda systems
• On Z-graded loop Lie algebras, loop groups, and Toda equations
• Higher Symmetries of Toda Equations
• Solution Generating in Ten Dimensional Supersymmetric Classical Yang--Mills Theories
• Riemannian Manifolds with Diagonal Metric. The Lamé and Bourlet Systems
• Particle-like, dyx-coaxial and trix-coaxial Lie algebra structures for a multi-dimensional continuous Toda type system
• Lax equations in ten dimensional supersymmetric classical Yang-Mills theories
• Matrix-Spacetimes and a 2D Lorentz-Covariant Calculus in Any Even Dimension
• Some explicit solutions of the Lamé and Bourlet type equations