Liu, Q. P.Mañas Baena, Manuel2023-06-202023-06-201997-03-20[1] L. Alvarez-Gaume, H. Itoyama, J.L. Manes and A. Zadra, Int. J. Mod. Phys. A7 (1992) 5337; L. Alvarez-Gaume, K. Becker, M. Berker, R. Emparan and J.L. Marie& Int. J. Mod. Phys. A8 (1993) 2297. [2] EA. Berezin, Introduction to Superanalysis (D. Reidel Publishing Company, Dordrecht, 1987). [3] M. Chaichian and PP. Kulish, Phys. Lett. B77 (1978) 413. [4] M. Crum, Q, J. Math. 6 (1955) 121. [5] B. Dewitt, Supermanifolds (Cambridge University Press, 1984). [6] L.A. Ibort, L. Martinez Alonso and E. Medina, J. Math. Phys. (in press). [7] Q.P. Liu, J. Phys. A: Math. Gen. 28 (1995) L245. [8] Q.P. Liu, Lett. Math. Phys. 35 (1995) 115. [9] Q.P. Liu and M. Mailas, Darboux transformations for the Manin-Radul supersymmetric KdV equation, Preprint ( 1996). [10] Yu.1. Manin and A.O. Radul, Commun. Math. Phys. 98 (1985) 65. [11] V.B. Matveev and M.A. Salle, Darboux transformations and Solitons (Springer- Verlag. Berlin, 1991). [12] C. Morosi and L. Pizzocchero, Commun. Math. Phys. 176 (1996) 353. [13] W. Oevel, Physica A 195 (1993) 533; W. Oevel and W. Schief, Darboux transformations and KP hierarchy, in: Applications of Analytic and Geometric Methods to Nonlinear Differential Equations, ed. PA. Clarkson, pp. 193 (Kluwer Academic Publishers, Dordrccht, 1993). [14] G.H.M. Roelofs and P.H.M. Kersten, J. Math. Phys. 33 (1992) 2185. [15] K. Ueno and H. Yamada, Supersymmetric extensions of the Kadomtsev- Petviashvili hierarchy and the universal super Grassmann manifold, in: Advanced Studies in Pure Mathematics 16 (1988) 373. [16] M. Wadati, H. Sanuki and K. Konno, Prog. Theor. Phys. 53 (1975) 419.0370-269310.1016/S0370-2693(97)00134-2https://hdl.handle.net/20.500.14352/59698©1997 Elsevier Science B.V. We should like to thank Allan Fordy and Kimio Ueno for making the reference [ 15] available to us.Darboux transformation is reconsidered for the supersymmetric KdV system. By iterating the Darboux transformation, a supersymmetric extension of the Crum transformation is obtained for the Manin-Radul SKdV equation, in doing so one gets Wronskian superdeterminant representations for the solutions. Particular examples provide us explicit supersymmetric extensions, super solitons, of the standard soliton of the KdV equation. The KdV soliton appears as the body of the super soliton.engAtribución 3.0 Españajournal articlehttp://dx.doi.org/10.1016/S0370-2693(97)00134-2http://www.sciencedirect.com/open access51-73PhysicsMultidisciplinaryFísica-Modelos matemáticosFísica matemática