Soliton and similarity solutions of \({\mathcal N=2,4}\) supersymmetric equations (Q350618)

Summary: 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.