Discrete integrable systems
著者
書誌事項
Discrete integrable systems
（Lecture notes in physics, 644）
Springer, c2004
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注記
Includes bibliographical references and index
"This volume contains ten courses based on the lectures delivered at the International School on Discrete Integrable Systems, organized by CIMPA, UNESCO and the Government of Pondicherry, which was held in Pondicherry, India, from February 2 to February 14, 2003." -- Pref
内容説明・目次
内容説明
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.
目次
Three Lessons on the Painleve Property and the Painleve 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 Painleve Equations: A Review (B. Grammaticos, A. Ramani).- Special Solutions for Discrete Painleve Equations (K.M. Tamizhmani, T. Tamizhmani, B. Grammaticos, A. Ramani).- Ultradiscrete Systems (Cellular Automata) (T. Tokihiro).- Time in Science: Reversibility vs. Irreversibility (Y. Pomeau).
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