64 citations · 945 across the 94 of their papers we have counts for
8 papers · 1 filter
Symmetry Flows, Conservation Laws and Dressing Approach to the Integrable Models
H. Aratyn, J. F. Gomes, E. Nissimov +2
The graded affine Lie algebras provide a framework in which the dressing method is applied to the generic type of integrable models. The dressing formalism is used to develop a uni…
Dyonic Integrable Models
J. F. Gomes, E. P. Gueuvoghlanian, G. M. Sotkov +1
A class of non abelian affine Toda models arising from the axial gauged two-loop WZW model is presented. Their zero curvature representation is constructed in terms of a graded Kac…
Classical Integrability of Non Abelian Affine Toda Models
J. F. Gomes, E. P. Gueuvoghlanian, G. M. Sotkov +1
A class of non abelian affine Toda models is constructed in terms of the axial and vector gauged WZW model. It is shown that the multivacua structure of the potential together with…
The complex Sine-Gordon equation as a symmetry flow of the AKNS Hierarchy
H. Aratyn, L. A. Ferreira, J. F. Gomes +1
It is shown how the complex sine-Gordon equation arises as a symmetry flow of the AKNS hierarchy. The AKNS hierarchy is extended by the ``negative'' symmetry flows forming the Bore…
Electrically Charged Topological Solitons
J. F. Gomes, E. P. Gueuvoghlanian, G. M. Sotkov +1
Two new families of T-Dual integrable models of dyonic type are constructed. They represent specific singular Non-Abelian Affine Toda models having U(1) global symmetry…
T-duality of axial and vector dyonic integrable models
J. F. Gomes, E. P. Gueuvoghlanian, G. M. Sotkov +1
A general construction of affine Non Abelian (NA) - Toda models in terms of axial and vector gauged two loop WZNW model is discussed. They represent {\it integrable perturbations}…
Loop-Algebra and Virasoro Symmetries of Integrable Hierarchies of KP Type
H. Aratyn, J. F. Gomes, E. Nissimov +1
We propose a systematic treatment of symmetries of KP integrable systems, including constrained (reduced) KP models ${\sl cKP}_{R,M}$, and their multi-component (matrix) generaliza…
Torsionless T-selfdual Affine NA Toda Models
J. F. Gomes, E. P. Gueuvoghlanian, G. M. Sotkov +1
A general construction of affine Non Abelian Toda models in terms of gauged two loop WZNW model is discussed. In particular we find the Lie algebraic condition defining a subclass…