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solv-int1999
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…
solv-int1998
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.…
solv-int1998
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…