Open problems for the superKdV equations

Abstract

After a review of the basic results concerning the $N=1,2$ supersymmetric extensions of the Korteweg-de Vries equation, with a pedagogical presentation of the superspace techniques, we discuss some basic open problems mainly in relation with the N=2 extensions.

harvmac, 13 p. (b); talk presented at AARMS-CRM Workshop on Backlund and Darboux Transformations: The geometry of Soliton Theory. June 4-9, 1999 (Halifax, Nova Scotia)