%0 Journal Article %T Soliton and Similarity Solutions of ¦­ = 2, 4 Supersymmetric Equations %A Laurent Delisle %A V¨¦ronique Hussin %J Symmetry %D 2012 %I MDPI AG %R 10.3390/sym4030441 %X We produce soliton and similarity solutions of supersymmetric extensions of Burgers, Korteweg¨Cde Vries and modified KdV equations. We give new representations of the ¦Ó -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. %K supersymmetric equations %K solitons %K Hirota bilinear formalism %U http://www.mdpi.com/2073-8994/4/3/441