S ep 2 00 8 Bilinear Approach to N = 2 Supersymmetric KdV equations
نویسندگان
چکیده
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.
منابع مشابه
Extension of the bilinear formalism to supersymmetric KdV-type equations
Extending the gauge-invariance principle for τ functions of the standard bilinear formalism to the supersymmetric case, we define N=1 supersymmetric Hirota operators. Using them, we bilinearize SUSY KdV-type equations (KdV, Sawada-Kotera-Ramani, Hirota-Satsuma). The solutions for multiple collisions of super-solitons and extension to SUSY sine-Gordon are also discussed.
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متن کاملar X iv : h ep - t h / 04 07 24 7 v 1 2 8 Ju l 2 00 4 N = 2 SUPERSYMMETRIC PLANAR PARTICLES AND MAGNETIC INTERACTION FROM NONCOMMUTATIVITY
We describe a N=2 supersymmetric extension of the nonrelativistic (2+1)-dimensional model describing particles on the noncommutative plane with scalar (electric) and vector (magnetic) interactions. First, we employ the N = 2 superfield technique and show that in the presence of a scalar N = 2 superpotential the magnetic interaction is implied by the presence of noncommutativity of position vari...
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