77 citations · 884 across the 79 of their papers we have counts for
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Multi-Component Matrix KP Hierarchies as Symmetry-Enhanced Scalar KP Hierarchies and Their Darboux-B"acklund Solutions
Henrik Aratyn, Emil Nissimov, Svetlana Pacheva
We show that any multi-component matrix KP hierarchy is equivalent to the standard one-component (scalar) KP hierarchy endowed with a special infinite set of abelian additional sym…
Berezinian Construction of Super-Solitons in Supersymmetric Constrained KP Hierarchies
H. Aratyn, E. Nissimov, S. Pacheva
We consider a broad class of consistently reduced Manin-Radul supersymmetric KP hierarchies (MR-SKP) which are supersymmetric analogs of the ordinary bosonic constrained KP models.…
From One-Component KP Hierarchy to Two-Component KP Hierarchy and Back
H. Aratyn, E. Nissimov, S. Pacheva
We show that the system of the standard one-component KP hierarchy endowed with a special infinite set of abelian additional symmetries, generated by squared eigenfunction potentia…
Method of Squared Eigenfunction Potentials in Integrable Hierarchies of KP Type
H. Aratyn, E. Nissimov, S. Pacheva
The method of squared eigenfunction potentials (SEP) is developed systematically to describe and gain new information about Kadomtsev-Petviashvili (KP) hierarchy and its reductions…
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…