Classical and SUSY solutions of the Boiti-Leon-Manna-Pempinelli equation
Mathematical Physics
2013-03-06 v2 math.MP
Abstract
In this paper, we propose the study of the Boiti-Leon-Manna-Pempinelli equation from two point of views: the classical and supersymmetric cases. In the classical case, we construct new solutions of this equation from Wronskian formalism and Hirota method. We, then, introduce a N = 1 supersymmetric extension of the Boiti-Leon-Manna-Pempinelli equation. We thus produce a bilinear form and give multisolitons and superpartner solutions. As an application, we produce a pair of B\"acklund transformations.
Keywords
Cite
@article{arxiv.1211.1165,
title = {Classical and SUSY solutions of the Boiti-Leon-Manna-Pempinelli equation},
author = {Laurent Delisle and Masoud Mosaddeghi},
journal= {arXiv preprint arXiv:1211.1165},
year = {2013}
}
Comments
11 pages, 6 figures