Bilinear Approach to N=2 Supersymmetric KdV equations

Details Bilinear Approach to N=2 Supersymmetric KdV equations Bilinear Approach to N=2 Supersymmetric KdV equations

2008-09-05

arxiv.org/abs/0809.0947v1

Science in China Series A: Mathematics 52 (2009) 1973-1981

Nonlinear Sciences

Exactly Solvable and Integrable Systems

13 pages

Scientific paper

10.1007/s11425-009-0014-x

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 B\"{a}cklund transformation is given for the $N=2, a=1$ supersymmetric KdV equation.

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