The N=2 supersymmetric KdV equations are studied within the framework of Hirota 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 Bcklund transformation is given for the N=2, a=1 supersymmetric KdV equation.
In this paper, the authors obtain the Baecklund transformation on time-like surfaces with constant mean curvature in R^2,1. Using this transformation, families of surfaces with constant mean curvature from known ones can be constructed.
