Symmetries and Integrability of Difference Equations

Lecture Notes of the Abecederian School of SIDE 12, Montreal 2016

Häftad, Engelska, 2018

Av Decio Levi, Raphaël Rebelo, Pavel Winternitz, Raphael Rebelo, Pavel Rebelo, Raphaël

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This book shows how Lie group and integrability techniques, originally developed for differential equations, have been adapted to the case of difference equations.

Produktinformation

Utgivningsdatum2018-08-02
Mått155 x 235 x 25 mm
Vikt674 g
FormatHäftad
SpråkEngelska
SerieCRM Series in Mathematical Physics
Antal sidor435
FörlagSpringer International Publishing AG
ISBN9783319859675

Tillhör följande kategorier

Chapter 1. Continuous, Discrete and Ultradiscrete Painlevé Equations.- Chapter 2. Elliptic Hypergeometric Functions.- Chapter 3. Integrability of Difference Equations through Algebraic Entropy and Generalized Symmetries.- Chapter 4. Introduction to Linear and Nonlinear Integrable Theories in Discrete Complex Analysis.- Chapter 5. Discrete Integrable Systems, Darboux Transformations and Yang–Baxter Maps.- Chapter 6. Symmetry-Preserving Numerical Schemes.- Chapter 7. Introduction to Cluster Algebras.- Chapter 8. An Introduction to Difference Galois Theory.- Chapter 9. Lectures on Quantum Integrability: Lattices, Symmetries and Physics.