%0 Journal Article
%A Guil Guerrero, Francisco
%A Mañas Baena, Manuel
%T The Darboux system: finite-rank constraints and Darbouxtransformations
%D 1997
%@ 0022-2488
%U https://hdl.handle.net/20.500.14352/59738
%X 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.
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