The discrete Korteweg-de Vries equation |
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| Authors: | Frank Nijhoff Hans Capel |
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| Institution: | (1) Department of Applied Mathematical Sciences, University of Leeds, LS2 9JT Leeds, UK;(2) Institute of Theoretical Physics, University of Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam, The Netherlands |
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| Abstract: | We review the different aspects of integrable discretizations in space and time of the Korteweg-de Vries equation, including Miura transformations to related integrable difference equations, connections to integrable mappings, similarity reductions and discrete versions of Painlevé equations as well as connections to Volterra systems. |
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| Keywords: | 58F07 |
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