Soliton and Similarity Solutions of<em> Ν = 2, 4 </em>Supersymmetric Equations

Abstract

We produce soliton and similarity solutions of supersymmetric extensions of Burgers, Korteweg–de Vries and modified KdV equations. We give new representations of the τ -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.

Keywords

• supersymmetric equations
• solitons
• Hirota bilinear formalism