The method of symmetry reduction is used to solve Grassmann-valued differen
tial equations. The (N=2) supersymmetric Korteweg-de Vries equation is cons
idered. It admits a Lie superalgebra of symmetries of dimension 5. A two-di
mensional subsuperalgebra is chosen to reduce the number of independent var
iables in this equation. We are then able to give different types of exact
solutions, in particular soliton solutions. (C) 1999 American Institute of
Physics. [S0022-2488(99)02903-5].