Soliton and similarity solutions of N=2,4 supersymmetric equations
  We produce soliton and similarity solutions of supersymmetric extensions of Burgers, Korteweg-de Vries and modified KdV equations. We give new representations of the $\tau$-functions in Hirota bilinear formalism. Chiral superfields are used to obtain such solutions. We also introduce new solitons called virtual solitons whose nonlinear interactions produce no phase shifts. 
Laurent Delisle and V\'eronique Hussin
math-ph math.MP