Guil Guerrero, Francisco JoséMañas Baena, Manuel Enrique2023-06-202023-06-201997-110022-248810.1063/1.532174https://hdl.handle.net/20.500.14352/59738©2001. All Rights Reserved.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.engjournal articlehttp://dx.doi.org/10.1063/1.532174http://scitation.aip.orgopen access51-73Integrable systemsEvolutionEquationsFísica-Modelos matemáticosFísica matemática