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Padé Methods for Painlevé Equations

Padé Methods for Painlevé Equations

Paperback

Series: Springerbriefs in Mathematical Physics, Book 42

General MathematicsPhysics

ISBN10: 9811629978
ISBN13: 9789811629976
Publisher: Springer Nature
Published: Sep 2 2021
Pages: 90
Weight: 0.33
Height: 0.21 Width: 6.14 Depth: 9.21
Language: English
The isomonodromic deformation equations such as the Painlevé and Garnier systems are an important class of nonlinear differential equations in mathematics and mathematical physics. For discrete analogs of these equations in particular, much progress has been made in recent decades. Various approaches to such isomonodromic equations are known: the Painlevé test/Painlevé property, reduction of integrable hierarchy, the Lax formulation, algebro-geometric methods, and others. Among them, the Padé method explained in this book provides a simple approach to those equations in both continuous and discrete cases.

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