We generalize to the supersymmetric case the representation of the KP hierarchy as a set of conservation laws for the generating series of the conserved densities. We show that the hierarchy so obtained is isomorphic to the JSKP of Mulase and Rabin. We identify its "bosonic content" with the so-called Darboux-KP hierarchy, which geometrically encompasses the theory of Darboux-Bäcklund transformations, and is an extension both of the KP theory and of the modified KP theory. Finally, we show how the hierarchy can be linearized and how the supersymmetric counterpart of a wide class of rational solutions can be quite explicitly worked out. © 2000 Elsevier Science B.V.

Falqui, G., Reina, C., Zampa, A. (2000). Super KP equations and Darboux transformations: Another perspective on the Jacobian Super KP hierarchy. JOURNAL OF GEOMETRY AND PHYSICS, 35(2--3), 239-272 [10.1016/S0393-0440(00)00007-3].

Super KP equations and Darboux transformations: Another perspective on the Jacobian Super KP hierarchy

FALQUI, GREGORIO;
2000

Abstract

We generalize to the supersymmetric case the representation of the KP hierarchy as a set of conservation laws for the generating series of the conserved densities. We show that the hierarchy so obtained is isomorphic to the JSKP of Mulase and Rabin. We identify its "bosonic content" with the so-called Darboux-KP hierarchy, which geometrically encompasses the theory of Darboux-Bäcklund transformations, and is an extension both of the KP theory and of the modified KP theory. Finally, we show how the hierarchy can be linearized and how the supersymmetric counterpart of a wide class of rational solutions can be quite explicitly worked out. © 2000 Elsevier Science B.V.
Articolo in rivista - Articolo scientifico
Supersymmetric KP equations; Darboux transformations; Supergeometry
English
2000
35
2--3
239
272
none
Falqui, G., Reina, C., Zampa, A. (2000). Super KP equations and Darboux transformations: Another perspective on the Jacobian Super KP hierarchy. JOURNAL OF GEOMETRY AND PHYSICS, 35(2--3), 239-272 [10.1016/S0393-0440(00)00007-3].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/20693
Citazioni
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 3
Social impact