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From integrable nets to integrable lattices Mañas Baena, Manuel Enrique 51-73 Circular lattices Lame equations Ribaucour transformations Quadrilateral lattices Coordinate systems Dressing methods Conjugate nets Geometric nets Field-theory Discrete Física-Modelos matemáticos Física matemática ©2002 American Institute of Physics. This work was partially supported by Direction General de Enseñanza Superior e Investigación Científica proyecto PB98-0821 Inspired by the results of Jonas, Einsenhart, Demoulin, and Bianchi on the permutability property of classical geometrical transformations of conjugate nets and its reductions-of pseudo-orthogonal, pseudo-symmetric, and pseudo-Egorov types-dressing transformations of the N-component KP hierarchy (described within the Grassmannian) are used to generate quadrilateral lattices and its corresponding reductions. As a byproduct we get the corresponding discrete dressing transformations; in particular, we characterize the vectorial fundamental discrete transformations preserving the symmetric lattice. Direction General de Enseñanza Superior e Investigación Científica Depto. de Física Teórica Fac. de Ciencias Físicas TRUE pub 2023-06-20T20:08:59Z 2023-06-20T20:08:59Z 2002-05 journal article https://hdl.handle.net/20.500.14352/59683 0022-2488 10.1063/1.1454185 eng PB98-0821 open access application/pdf American Institute of Physics