Mathematics - Sets, General Topology, & Categories, Mathematical Equations - General & Miscellaneous, Mathematical Equations - Differential

Invertible Point Transformations and Nonlinear Differential Equations

Name: Invertible Point Transformations and Nonlinear Differential Equations
Author: W. -H Steeb
ISBN: 9789810213558

by W. -H Steeb

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Synopsis

The invertible point transformation is a powerful tool in the study of nonlinear differential and difference equations. 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 Painlev 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.