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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…
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…
A New ``Dual'' Symmetry Structure of the KP Hierarchy
H. Aratyn, E. Nissimov, S. Pacheva
A new infinite set of commuting additional (``ghost'') symmetries is proposed for the KP-type integrable hierarchy. These symmetries allow for a Lax representation in which they ar…
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…