Computation of Lie supersymmetries for the supersymmetric two bosons equations

Working in a superspace, we compute the Lie-point symmetries for the supers ymmetric two bosons equations. Computer algebra has helped us to skip the t edious calculations. Translational symmetry supergroups are used to reduce the supersymmetric two bosons equations to an ordinary differential supersy stem which involves two even and two odd dependent variables. Some explicit solutions are presented. (C) 1998 Published by Elsevier Science B.V.