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Bilinear Approach to N = 2 Supersymmetric KdV equations

By Meng-xia Zhang, Q. P. Liu, Ya-li Shen and Ke Wu

Abstract

The N = 2 supersymmetric KdV equations are studied within the framework of Hirota’s bilinear method. For two such equations, namely N = 2,a = 4 and N = 2,a = 1 supersymmetric KdV equations, we obtain the corresponding bilinear formulations. Using them, we construct particular solutions for both cases. In particular, a bilinear Bäcklund transformation is given for the N = 2,a = 1 supersymmetric KdV equation. 1

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