136 citations · 362 across the 12 of their papers we have counts for
12 papers
Integrable theories in any dimension: a perspective
Orlando Alvarez, L. A. Ferreira, J. Sanchez Guillen
We review the developments of a recently proposed approach to study integrable theories in any dimension. The basic idea consists in generalizing the zero curvature representation…
Integrable Chiral Theories in 2+1 Dimensions
D. Gianzo, J. O. Madsen, J. Sanchez Guillen
Following a recent proposal for integrable theories in higher dimensions based on zero curvature, new Lorentz invariant submodels of the principal chiral model in 2+1 dimensions ar…
A New Approach to Integrable Theories in any Dimension
Orlando Alvarez, Luiz A. Ferreira, J. Sanchez Guillen
The zero curvature representation for two dimensional integrable models is generalized to spacetimes of dimension d+1 by the introduction of a d-form connection. The new generalize…
Aspects of Solitons in Affine Integrable Hierarchies
Luiz A. Ferreira, Joaquin Sanchez Guillen
We argue that one of the basic ingredients for the appearance of soliton solutions in integrable hierarchies, is the existence of ``vacuum solutions'' corresponding to Lax operator…
Tau-functions and Dressing Transformations for Zero-Curvature Affine Integrable Equations
L. A. Ferreira, J. L. Miramontes, J. Sanchez Guillen
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 a…
Affine Toda Systems Coupled to Matter Fields
L. A. Ferreira, J-L. Gervais, J. Sanchez Guillen +1
We investigate higher grading integrable generalizations of the affine Toda systems. The extra fields, associated to non zero grade generators, obey field equations of the Dirac ty…