Differential equations extended to superspace

Abstract

We present a simple SUSY N=2 superspace extension of the differential equations in which the sought solutions are considered to be real superfields but maintaining the common derivative operators and the coefficients of the differential equations unaltered. In this way, we get selfconsistent systems of coupled differential equations for the components of the superfield. This procedure is applied to the Riccati equation, for which we obtain in addition the system of coupled equations corresponding to the components of the general superfield solution

5 pages, no figures, invited talk by H. Rosu at the DGFM-SMF workshop, Chapala, Mexico, 25-30 November 2001, minor changes