Discrete Integrable Systems [electronic resource] / edited by Basil Grammaticos, Thamizharasi Tamizhmani, Yvette Kosmann-Schwarzbach.
Material type: TextSeries: Lecture Notes in Physics ; 644Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2004Description: XVIII, 441 p. online resourceContent type:- text
- computer
- online resource
- 9783540403579
- 530.15 23
- QC5.53
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, T. Tamizhmani, B. Grammaticos, A. Ramani) -- 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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