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Generalized Bäcklund transformations for affine Toda hierarchies
(2021-02-12)
The construction of generalized Bäcklund transformation for the An affine Toda hierarchy is proposed in terms of gauge transformation acting on the zero curvature representation. Such construction is based upon the graded ...
Loop algebra and visaoro symmetries of integrable hierarchies of KP type
(2001-01-01)
We propose a systematic treatment of symmetries of KP integrable systems, including constrained (reduced) KP models cKP R, M (generalized AKNS hierarchies), and their multi component (matrix) generalizations. Any cKP R, M ...
Hierarquias integráveis supersimétricas
(Universidade Estadual Paulista (Unesp), 2018-10-08)
Estudamos hierarquias integráveis. Essas hierarquias possuem infinitas equações de movimento que emergem de uma mesma estrutura algébrica. Algumas equações são conhecidas como mKdV e Sinh-Gordon, estas equações possuem ...
Supersymmetry flows, semi-symmetric space sine-Gordon models and the Pohlmeyer reduction
(Springer, 2011-03-01)
We study the extended supersymmetric integrable hierarchy underlying the Pohlmeyer reduction of superstring sigma models on semi-symmetric superspaces F/G. This integrable hierarchy is constructed by coupling two copies ...
Supersymmetry flows, semi-symmetric space sine-Gordon models and the Pohlmeyer reduction
(Springer, 2011-03-01)
We study the extended supersymmetric integrable hierarchy underlying the Pohlmeyer reduction of superstring sigma models on semi-symmetric superspaces F/G. This integrable hierarchy is constructed by coupling two copies ...
Backlund transformation for integrable hierarchies: example - mKdV hierarchy
(Iop Publishing Ltd, 2015-01-01)
In this note we present explicitly the construction of the mKdV hierarchy and show that it decomposes into positive and negative graded sub-hierarchies. We extend the construction of the Backlund transformation for the ...
On a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation?
(2006-12-01)
Different gauge copies of the Ablowitz-Kaup-Newell-Segur (AKNS) model labeled by an angle θ are constructed and then reduced to the two-component Camassa-Holm model. Only three different independent classes of reductions ...
On a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation?
(2006-12-01)
Different gauge copies of the Ablowitz-Kaup-Newell-Segur (AKNS) model labeled by an angle θ are constructed and then reduced to the two-component Camassa-Holm model. Only three different independent classes of reductions ...
Toda lattice field theories, discrete W algebras, Toda lattice hierarchies and quantum groups
(1996-10-31)
In analogy with the Liouville case we study the sl3 Toda theory on the lattice and define the relevant quadratic algebra and out of it we recover the discrete W3 algebra. We define an integrable system with respect to the ...