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Springer - The Painleve Handbook (Mathematical Physics Studies)

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Description

The Painleve Handbook (Mathematical Physics Studies) by Springer offers an updated second edition for researchers and students in mathematical physics. This text introduces the singularity analysis of differential and difference equations through the Painleve test. It provides a clear, algorithmic approach to building explicit solutions for nonlinear ordinary and partial differential equations. Readers will find practical applications through various integrable equations, including the nonlinear Schrodinger equation and the Korteweg-de Vries equation. The book also covers Henon-Heiles type Hamiltonians and several physically relevant examples such as the Kuramoto-Sivashinsky equation, the Kolmogorov-Petrovski-Piskunov equation, and the cubic equation. This handbook serves as a detailed resource for anyone studying nonlinear dynamics and singularity analysis.

Key Features

Second edition update providing the latest insights into singularity analysis of differential and difference equations via the Painleve test.

Offers a powerful algorithmic approach to help build explicit solutions to nonlinear ordinary and partial differential equations.

Covers essential integrable equations such as the nonlinear Schrodinger equation and the Korteweg-de Vries equation.

Includes study of Henon-Heiles type Hamiltonians and various physically relevant examples like the Kuramoto-Sivashinsky equation.

Provides detailed analysis of the Kolmogorov-Petrovski-Piskunov equation and the cubic equation for advanced mathematical study.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
08 November 2020
Listed Since
10 June 2020

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