Discrete integrable systems
By: B. Grammaticos, Y. Kosmann-Schwarzbach, T. Tamizhmani (eds.).
Contributors: Grammaticos, B. 1946-; Kosmann-Schwarzbach, Yvette, 1941-; Tamizhmani, T.
Series: Lecture notes in physics,; 644
Publisher: Springer
Published: 2004
Place of publication: Berlin; New York
Language: eng
Number of pages: 439
Subjects: Integral equations; Mathematical physics
Description: 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.
Table of contents: title: Three lessons on the Painlevé property and the Painlevé equations / M.D. Kruskal, B. Grammaticos, T. Tamizhmani; title: Sato theory and transformation groups: a unified approach to integrable systems / R. Willox, J. Satsuma; title: Special solutions of discrete integrable systems / Y. Ohta; title: Discrete differential geometry : integrability as consistency / A.I. Bobenko; title: Discrete Lagrangian models / Yu. B. Suris; title: Symmetries of discrete systems / P. Winternitz; title: Discrete Painlevé equations : a review / B. Grammaticos, A. Ramani; title: Special solutions for discrete Painlevé equations / K.M. Tamizhmani ... [et al.]; title: Ultradiscrete systems (cellular automata) / T. Tokihiro; title: Time in science : reversibility vs. irreversibility / Y. Pomeau.