108 citations · 1.1k across the 73 of their papers we have counts for
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Constrained KP Hierarchies: Darboux-Bäcklund Solutions and Additional Symmetries
H. Aratyn, E. Nissimov, S. Pacheva
We illustrate the basic notions of {\em additional non-isospectral symmetries} and their interplay with the discrete {\em \DB transformations} of integrable systems at the instance…
On Integrable Models and their Interrelations
H. Aratyn, E. Nissimov, S. Pacheva
We present an elementary discussion of the Calogero-Moser model. This gives us an opportunity to illustrate basic concepts of the dynamical integrable models. Some ideas are also p…
Constrained KP Models as Integrable Matrix Hierarchies
H. Aratyn, L. A. Ferreira, J. F. Gomes +1
We formulate the constrained KP hierarchy (denoted by \cKP) as an affine matrix integrable hierarchy generalizing the Drinfeld-Sokolov hierarchy…
Integrable Lax Hierarchies, their Symmetry Reductions and Multi-Matrix Models
H. Aratyn
Some new developments in constrained Lax integrable systems and their applications to physics are reviewed. After summarizing the tau function construction of the KP hierarchy and…
Darboux-Backlund Solutions of SL(p,q) KP-KdV Hierarchies, Constrained Generalized Toda Lattices, and Two-Matrix String Model
H. Aratyn, E. Nissimov, S. Pacheva
We present an unifying description of the graded KP-KdV hierarchies, including the Wronskian construction of their tau-functions as well as the coefficients of the pertin…