The Painlevé analysis for N=2 super KdV equations

Details The Painlevé analysis for N=2 super KdV equations The Painlevé analysis for N=2 super KdV equations

2000-06-28

arxiv.org/abs/math-ph/0006029v3

Physics

Mathematical Physics

Harvmac (b mode : 29 p); various minor modifications -- to appear in J. Math Phys

Scientific paper

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$_1$ case.

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