Discrete integrable systems / B. Grammaticos, Y. Kosmann-Schwarzbach, T. Tamizhmani (eds.).

Contributor(s): Grammaticos, B. (Basil), 1946- | Kosmann-Schwarzbach, Yvette, 1941- | Tamizhmani, T. (Thamizharasi)
Material type: TextTextSeries: Lecture notes in physics: 644.Publisher: Berlin ; New York : Springer, ©2004Description: 1 online resource (xviii, 439 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540403579; 3540403574Subject(s): Integral equations | Mathematical physics | Équations intégrales | Physique mathématique | Integral equations | Mathematical physics | Integrables System | Diskretes System | Painlevé-Gleichung | Pondicherry <2003> | Discrete integral systemsGenre/Form: Electronic books. | Kongress. Additional physical formats: Print version:: Discrete integrable systems.DDC classification: 515.45 LOC classification: QC20.7.I58 | D57 2004Other classification: UD 8220 | PHY 013f Online resources: Click here to access online
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.
Action note: digitized 2010 committed to preserveSummary: 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.
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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.

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.

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