Discrete integrable systems : [... contains ten courses based on the lectures delivered at the International School on Discrete Integrable Systems, ... which was held in Pondicherry, India, from February 2 to February 14, 2003] / B. Grammaticos ... (eds.)

International School on Discrete Integrable Systems ; (Pondicherry) : 2003.02.02-14

Englisch

Berlin [u.a.] : Springer, 2004

XVIII, 439 S : graph. Darst ; 24 cm

10973882

Konferenzschrift (2003, Pondicherry)

3-540-21425-9 : EUR 74.85 (freier Pr.)

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 ... [et al.] -- Ultradiscrete systems (cellular automata) / T. Tokihiro -- Time in science : reversibility vs. irreversibility / Y. Pomeau

9783540214250

*Integrables System / Diskretes System

*Painlevé-Gleichung

*Integral equations ; Mathematical physics

Klassifikation der Library of Congress: QC20.7.I58

Dewey Dezimal-Klassifikation: 515.45 ; 530

Regensburger Verbund-Klassifikation: UD 8220: U Physik / UD Kongresse, Sommerschulen, geschlossen aufgestellte Serien / Lecture Notes in physics

Regensburger Verbund-Klassifikation: UL 3100: U Physik / UL Vielteilchentheorie / Integrable Systeme

Mathematics Subject Classification: *37-06

Mathematics Subject Classification: 34-06

Mathematics Subject Classification: 39-06

Mathematics Subject Classification: 00B25

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 graduate students and nonspecialist researchers but will also benefit lecturers looking for suitable material for advanced courses and researchers interested in specific topics. TOC:Three Lessons on the Painlevé Property and the Painlevé Equations.- Sato Theory and Transformation Groups.- A Unified Approach to Integrable Systems.- Special Solutions of Discrete Integrable Systems.- Discrete Differential Geometry. Integrability as Consistency.- Discrete Lagrangian Models.- Symmetries of Discrete Systems.- Discrete Painlevé Equations: a Review.- Special Solutions for Discrete Painlevé Equations.- Ultradiscrete Systems (Cellular Automata).- Time in Science: Reversibility vs. Irreversibility

http://www.loc.gov/catdir/enhancements/fy0818/2004102969-d.html [Publisher description]

http://swbplus.bsz-bw.de/bsz112235166cov.htm [Cover]

http://swbplus.bsz-bw.de/bsz112235166inh.htm [Inhaltsverzeichnis]

https://zbmath.org/?q=an:1052.37002 [Zentralblatt MATH]

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