Asymptotic lattices and their integrable reductions. I: The Bianchi-Ernst and the Fubini-Ragazzi lattices (Q2773073)
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scientific article; zbMATH DE number 1709227
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic lattices and their integrable reductions. I: The Bianchi-Ernst and the Fubini-Ragazzi lattices |
scientific article; zbMATH DE number 1709227 |
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20 February 2002
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discrete Calapso system
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discrete Fubini-Ragazzi nets
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Asymptotic lattices and their integrable reductions. I: The Bianchi-Ernst and the Fubini-Ragazzi lattices (English)
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This paper deals with the theory of asymptotic lattices and their integrable reductions from a unified perspective. The authors show that the so-called ``discrete Calapso system'' (introduced by \textit{W. K. Schief} [Stud. Appl. Math. 106, 85-137 (2001)]) is also the proper discrete analogue of the Bianchi system. They also present the theory of transformations of the discrete Fubini-Ragazzi nets which allows one to construct solutions through a sequence of linear steps only.
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