RT Journal Article T1 Tau-function formalism for supersymmetric KP hierarchies A1 Martínez Alonso, Luis A1 Medina Reus, Elena AB We consider the Manin-Radul and Jacobian supersymmetric KP hierarchies from the point of view of the tau-function formalism. Solutions of their associated systems of Sato equations are characterized in terms of correlation functions of supersymmetric vertex operators of superghost type. The expression of the wave functions of these hierarchies in terms of tau-functions is obtained and the corresponding bilinear identities are established. Explicit methods for generating soliton and rational solutions are given. PB American Institute of Physics SN 0022-2488 YR 1995 FD 1995-09 LK https://hdl.handle.net/20.500.14352/59831 UL https://hdl.handle.net/20.500.14352/59831 LA eng NO ©1995 American Institute of Physics.The authors would like to thank Professor A. Ibort for many helpful conversations. The financial support of the CICYT is also acknowledged. NO CICYT DS Docta Complutense RD 26 abr 2025