The Painlevé analysis for N=2 super KdV equations

Abstract

The Painlevé 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.

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

References in corpus (1)

• Odd Bihamiltonian Structure of New Supersymmetric N=2,4 KdV And Odd SUSY Virasoro - Like Algebra

Cited by in corpus (6)

• Bilinear Approach to N=2 Supersymmetric KdV equations
• A Novel Symmetry Constraint Of The Super cKdV System
• A non-standard Lax formulation of the Harry Dym hierarchy and its supersymmetric extension
• Bäcklund-Darboux Transformations and Discretizations of $N=2a=-2$ Supersymmetric KdV Equation
• Gardner's deformations of the N=2 supersymmetric a=4-KdV equation
• The transformations between N=2 supersymmetric KdV and HD equations