We apply the approximate solution of the Balitsky-Kovchegov non-linear equation obtained for DIS, to soft hadronic interactions. The relevant hadronic wave functions are formulated, and total, elastic cross-sections and the forward elastic slope are calculated, and compared to experimental data. The saturation mechanism leads to reasonable reproduction of the data for the quantities analyzed, except for the forward elastic slope, where the predicted increase with energy is too moderate. (orig.)Available from TIB Hannover: RA 2999(02-219) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman