Invertible Point Transformations And Nonlinear Differential Equations
Author:   Willi-hans Steeb (Univ Of Johannesburg, South Africa)
Publisher:   World Scientific Publishing Co Pte Ltd
ISBN:  

9789810213558


Pages:   188
Publication Date:   01 June 1993
Format:   Hardback
Availability:   Awaiting stock   Availability explained
The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you.

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Invertible Point Transformations And Nonlinear Differential Equations


Overview

The invertible point transformation is a powerful tool in the study of nonlinear differential and difference questions. This book gives a comprehensive introduction to this technique. Ordinary and partial differential equations are studied with this approach. The book also covers nonlinear difference equations. The connections with Lie symmetries, the Painleve property, first integrals and the Cartan equivalence method are discussed in detail. Most of the evaluations are checked with the computer language REDUCE; the book includes 30 REDUCE programs. A short introduction to the jet bundle formalism is given.

Full Product Details

Author:   Willi-hans Steeb (Univ Of Johannesburg, South Africa)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Dimensions:   Width: 16.30cm , Height: 1.60cm , Length: 22.00cm
Weight:   0.386kg
ISBN:  

9789810213558


ISBN 10:   9810213557
Pages:   188
Publication Date:   01 June 1993
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock   Availability explained
The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you.

Table of Contents

First-order ordinary differential equation; second-order ordinary differential equations; third-order differential equations; Lie point symmetries; first integrals and differential equation; cartan equivalence method; Painleve test and linearization; Painleve test and partial differential equations; partial differential equations; difference equations; REDUCE programs; jet bundle formalism.

Reviews

The text is well written, and fairly elementary from a mathematical standpoint. The concepts are clearly illustrated; there are numerous examples of interest to applied mathematicians and physicists. Richard Churchill SIAM Review, 1994


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