4 citations · 11 across the 4 of their papers we have counts for
9 papers
N=2 and N=4 Supersymmetric mKdV and sinh-Gordon Hierarchies
H. Aratyn, J. F. Gomes, L. H. Ymai +1
Integrable models with higher N=2 and N=4 supersymmetries are formulated on reductions of twisted loop superalgebras and endowed with principal gra…
Algebraic construction of integrable and super integrable hierarchies
H. Aratyn, J. F. Gomes, A. H. Zimerman
A general construction of integrable hierarchies based on affine Lie algebras is presented. The models are specified according to some algebraic data and their time evolution is ob…
Axial Vector Duality in Affine NA Toda Models
J. F. Gomes, G. M. Sotkov, A. H. Zimerman
A general and systematic construction of Non Abelian affine Toda models and its symmetries is proposed in terms of its underlying Lie algebraic structure. It is also shown that suc…
WDVV Equations, Darboux-Egoroff Metric and the Dressing Method
H. Aratyn, J. F. Gomes, J. W. van de Leur +1
Dressing technique is used to construct commuting Lax operators which provide an integrable (canonical) structure behind Witten--Dijkgraaf--Verlinde--Verlinde equations. The commut…
Non Abelian Toda models and Constrained KP hierarchies
I. Cabrera-Carnero, J. F. Gomes, E. P. Gueuvoghlanian +2
A general construction of affine Non Abelian Toda models in terms of gauged two loop WZNW model is discussed. Its connection to non relativistic models corresponding to constrained…
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…