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Bilinear approach to N=2 supersymmetric KdV equations

Meng Zhang

Open publisher page 17 citations

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 1

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What this paper is about

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 1

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Available 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 1

Key concepts: Korteweg–de Vries equation, Bilinear interpolation, Mathematical physics, Bilinear form, Supersymmetry, Mathematics, Applied mathematics, Physics

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