RT Journal Article T1 The Darboux system: finite-rank constraints and Darbouxtransformations A1 Guil Guerrero, Francisco José A1 Mañas Baena, Manuel Enrique AB The exponential solutions of the Darboux equations for conjugate nets is considered. It is shown that rank-one constraints over the right derivatives of invertible operators on an arbitrary linear space give solutions of the Darboux system, which can be understood as a vectorial Darboux transformation of the exponential background. The method is extended further to obtain vectorial Darboux transformations of the Darboux system. PB American Institute of Physics SN 0022-2488 YR 1997 FD 1997-11 LK https://hdl.handle.net/20.500.14352/59738 UL https://hdl.handle.net/20.500.14352/59738 LA eng NO ©2001. All Rights Reserved. DS Docta Complutense RD 10 abr 2025