The Painlev\'e analysis for N=2 super KdV equations
Mathematical Physics
2015-06-26 v3 High Energy Physics - Theory
math.MP
Abstract
The Painlev\'e analysis of a generic multiparameter N=2 extension of the Korteweg-de Vries equation is presented. Unusual aspects of the analysis, pertaining to the presence of two fermionic fields, are emphasized. For the general class of models considered, we find that the only ones which manifestly pass the test are precisely the four known integrable supersymmetric KdV equations, including the SKdV case.
Keywords
Cite
@article{arxiv.math-ph/0006029,
title = {The Painlev\'e analysis for N=2 super KdV equations},
author = {S. Bourque and P. Mathieu},
journal= {arXiv preprint arXiv:math-ph/0006029},
year = {2015}
}
Comments
Harvmac (b mode : 29 p); various minor modifications -- to appear in J. Math Phys