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On Discrete Symmetries of the Multi-Boson KP Hierarchies
H. Aratyn, L. A. Ferreira, A. H. Zimerman
We show that the multi-boson KP hierarchies possess a class of discrete symmetries linking them to the discrete Toda systems. These discrete symmetries are generated by the similar…
The Conserved Charges and Integrability of the Conformal Affine Toda Models
H. Aratyn, L. A. Ferreira, J. F. Gomes +1
We construct infinite sets of local conserved charges for the conformal affine Toda model. The technique involves the abelianization of the two-dimensional gauge potentials satisfy…
Toda and Volterra Lattice Equations from Discrete Symmetries of KP Hierarchies
H. Aratyn, L. A. Ferreira, J. F. Gomes +1
The discrete models of the Toda and Volterra chains are being constructed out of the continuum two-boson KP hierarchies. The main tool is the discrete symmetry preserving the Hamil…
On Non-Linear W-Infinity Symmetry of Generalized Liouville and Conformal Toda Models
H. Aratyn, L. A. Ferreira, J. F. Gomes +1
Invariance under non-linear algebra is shown for the two-boson Liouville type of model and its algebraic generalizations, the extended conformal Toda mode…
Construction of Affine and Conformal Affine Toda Solitons by Hirota's Method
H. Aratyn, C. P. Constantinidis, L. A. Ferreira +2
In this talk we report some results about the construction of soliton solutions for the Affine and Conformal Affine Toda models using the Hirota's method. We obtain new classes of…
On Algebras, Gauge Equivalence of KP Hierarchies, Two-Boson Realizations and their KdV Reductions
H. Aratyn, L. A. Ferreira, J. F. Gomes +1
The gauge equivalence between basic KP hierarchies is discussed. The first two Hamiltonian structures for KP hierarchies leading to the linear and non-linear $\Winf$ algebras are d…