In this paper we present a general framework to construct integrable Z 2 2-graded
extensions of classical, two-dimensional Toda and conformal affine Toda theories. The …

We review our proposal to generalize the standard two-dimensional flatness construction of
Lax–Zakharov–Shabat to relativistic field theories in d+ 1 dimensions. The fundamentals …

A bstract The KdV hierarchy is a paradigmatic example of the rich mathematical structure
underlying integrable systems and has far-reaching connections in several areas of …

Abstract Generalized Drinfeld-Sokolov (DS) hierarchies are constructed through local
reductions of Hamiltonian flows generated by monodromy invariants on the dual of a loop …

We use Hirota's method formulated as a recursive scheme to construct a complete set of
soliton solutions for the affine Toda field theory based on an arbitrary Lie algebra. Our …

We investigate higher grading integrable generalizations of the affine Toda systems, where
the flat connections defining the models take values in eigensubspaces of an integral …

A general class of conformal Toda theories associated with integral gradings of the simple
Lie algebras is investigated. These generalized Toda theories are obtained by reducing the …

The solutions of a large class of hierarchies of zero-curvature equations that includes Toda-
and KdV-type hierarchies are investigated. All these hierarchies are constructed from affine …

A simple description of the KP hierarchy and its multi-hamiltonian structure is given in terms
of two Bose currents. A deformation scheme connecting various W-infinity algebras and the …

Massive integrable field theories in 1+ 1 dimensions are defined at the Lagrangian level,
whose classical equations of motion are related to the “non-abelian” Toda field equations …