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oai:docta.ucm.es:20.500.14352/596832024-08-26T16:51:09Zcom_20.500.14352_14col_20.500.14352_15

From integrable nets to integrable lattices Mañas Baena, Manuel Enrique ©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. 2023-06-20T20:08:59Z 2023-06-20T20:08:59Z 2002-05 journal article 0022-2488 10.1063/1.1454185 https://hdl.handle.net/20.500.14352/59683 http://dx.doi.org/10.1063/1.1454185 http://scitation.aip.org eng PB98-0821 open access American Institute of Physics