Article thumbnail

From nonassociativity to solutions of the KP hierarchy

By Aristophanes Dimakis and Folkert Müller-hoissen

Abstract

A recently observed relation between ‘weakly nonassociative ’ algebras A (for which the associator (A, A 2, A) vanishes) and the KP hierarchy (with dependent variable in the middle nucleus A ′ of A) is recalled. For any such algebra there is a nonassociative hierarchy of ODEs, the solutions of which determine solutions of the KP hierarchy. In a special case, and with A ′ a matrix algebra, this becomes a matrix Riccati hierarchy which is easily solved. The matrix solution then leads to solutions of the scalar KP hierarchy. We discuss some classes of solutions obtained in this way.

Year: 2012
OAI identifier: oai:CiteSeerX.psu:10.1.1.235.3575
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://arxiv.org/pdf/nlin/0608... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.