108 citations · 1.1k across the 73 of their papers we have counts for
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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…
On Grassmannian Description of the Constrained KP Hierarchy
H. Aratyn
This note develops an explicit construction of the constrained KP hierarchy within the Sato Grassmannian framework. Useful relations are established between the kernel elements of…
Supersymmetric KP Hierarchy: ``Ghost'' Symmetry Structure, Reductions and Darboux-Backlund Solutions
H. Aratyn, E. Nissimov, S. Pacheva
This paper studies Manin-Radul supersymmetric KP hierarchy (MR-SKP) in three related aspects: (i) We find an infinite set of additional (``ghost'') symmetry flows spanning the same…