Publication: From integrable nets to integrable lattices
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2002-05
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American Institute of Physics
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Abstract
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
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