From integrable nets to integrable lattices



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Mañas Baena, Manuel (2002) From integrable nets to integrable lattices. Journal of mathematical physics, 43 (5). pp. 2523-2546. ISSN 0022-2488

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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.

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©2002 American Institute of Physics.
This work was partially supported by Direction General de Enseñanza Superior e Investigación Científica proyecto PB98-0821

Uncontrolled Keywords:Circular lattices; Lame equations; Ribaucour transformations; Quadrilateral lattices; Coordinate systems; Dressing methods; Conjugate nets; Geometric nets; Field-theory; Discrete
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:32451
Deposited On:22 Jul 2015 08:21
Last Modified:10 Dec 2018 15:10

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