Using the group-theoretical approach to the inverse scattering method the
supersymmetric Korteweg-de Vries equation is obtained by application of the
Drinfeld-Sokolov reduction to osp(1|2) loop superalgebra. The direct and
inverse scattering problems are discussed for the corresponding Lax pair.Comment: LaTeX2e, 19 pages, Zapiski Nauchnih Seminarov POMI (Steklov
Institute), vol. 291, 185-205, 2002 (in russian); Engl. transl. : Journal of
Math. Sci., Kluwer, in pres