Discrete integrable systems /

This volume consists of a set of ten lectures conceived as both introduction and up-to-date survey on discrete integrable systems. It constitutes a companion book to "Integrability of Nonlinear Systems" (Springer-Verlag, 2004, LNP 638, ISBN 3-540-20630-2). Both volumes address primarily gr...

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Bibliographic Details
Corporate Author:	SpringerLink (Online service)
Other Authors:	Grammaticos, B. (Basil), 1946-, Kosmann-Schwarzbach, Yvette, 1941-, Tamizhmani, T. (Thamizharasi)
Format:	eBook
Language:	English
Published:	Berlin ; New York : Springer, [2004]
Series:	Lecture notes in physics ; 644.
Subjects:	Integral equations. Mathematical physics. Équations intégrales. Physique mathématique. Integrables System. Diskretes System. Painlevé-Gleichung. Pondicherry <2003>. Discrete integral systems Electronic books. Kongress.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Three lessons on the Painlevé property and the Painlevé equations / M.D. Kruskal, B. Grammaticos, T. Tamizhmani
Sato theory and transformation groups: a unified approach to integrable systems / R. Willox, J. Satsuma
Special solutions of discrete integrable systems / Y. Ohta
Discrete differential geometry : integrability as consistency / A.I. Bobenko
Discrete Lagrangian models / Yu. B. Suris
Symmetries of discrete systems / P. Winternitz
Discrete Painlevé equations : a review / B. Grammaticos, A. Ramani
Special solutions for discrete Painlevé equations / K.M. Tamizhmani [and others]
Ultradiscrete systems (cellular automata) / T. Tokihiro
Time in science : reversibility vs. irreversibility / Y. Pomeau.