Soliton and similarity solutions of N=2,4 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 $\tau$-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.

12 pages, 15 figures

References in corpus (3)

• Odd Bihamiltonian Structure of New Supersymmetric N=2,4 KdV And Odd SUSY Virasoro - Like Algebra
• Bilinearization of N=1 Supersymmetric Modified KdV Equations
• Solitons Solutions for the N=2 Supersymmetric KdV Equation