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

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

2000-01-25

arxiv.org/abs/nlin/0001052v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Latex, 36 pages, 1 figure

Scientific paper

10.1016/S0393-0440(00)00007-3

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-B\"acklund 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 solution can be quite explicitly worked out.

Affiliated with

Also associated with

No associations

Rating

Super KP equations and Darboux transformations: another perspective on the Jacobian Super KP hierarchy does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Super KP equations and Darboux transformations: another perspective on the Jacobian Super KP hierarchy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Super KP equations and Darboux transformations: another perspective on the Jacobian Super KP hierarchy will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-309091