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Springer Painleve Handbook - Mathematical Physics Studies (2nd Edition)

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Description

The Painleve Handbook, now in its second edition, introduces singularity analysis of differential and difference equations through the Painleve test, offering a powerful algorithmic approach to constructing explicit solutions for nonlinear ordinary and partial differential equations. This comprehensive guide illustrates core concepts using integrable equations including the nonlinear Schrodinger equation, the Korteweg-de Vries equation, and Henon-Heiles type Hamiltonians, alongside physically relevant applications such as the Kuramoto-Sivashinsky equation and the Kolmogorov-Petrovski-Piskunov equation. Published by Springer as part of the Mathematical Physics Studies series, this text serves researchers and advanced students seeking rigorous methods for analysing and solving complex nonlinear systems in mathematical physics.

Key Features

The Painleve Handbook presents singularity analysis techniques via the Painleve test for differential and difference equations.

Covers integrable equations including the nonlinear Schrodinger equation and the Korteweg-de Vries equation with detailed applications.

This second edition includes physically relevant examples such as the Kuramoto-Sivashinsky and Kolmogorov-Petrovski-Piskunov equations.

Springer's Mathematical Physics Studies series positioning makes this handbook essential for researchers in nonlinear dynamics.

Product Specifications

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

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