The Darboux system: Finite-rank constraints and Darboux transformations | Zendy

Francisco Guil | Zendy; Manuel Mañas | Zendy

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The Darboux system: Finite-rank constraints and Darboux transformations

Author(s) -

Francisco Guil,

Manuel Mañas

Publication year - 1997

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.532174

Subject(s) - darboux integral , invertible matrix , mathematics , rank (graph theory) , transformation (genetics) , pure mathematics , algebra over a field , exponential function , mathematical analysis , combinatorics , geometry , biochemistry , chemistry , curvature , gene

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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