Invertible point transformations and nonlinear differential equations / Willi-Hans Steeb
Digitised Book 216.73.216.191 (0)
Information About
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. It 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; Included are 30 REDUCE programs and a.short introduction to the jet bundle formalism. It also describes the method of the invertible point transformation and discusses the connection with other methods..
Additional Details
- Title
- Invertible point transformations and nonlinear differential equations / Willi-Hans Steeb
- Creators
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- Steeb, W.-H.
- Subject
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- Continuous groups
- Lie algebras
- Differential equations
- Differential equations, Partial
- Publisher
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- World Scientific,
- National Library Board Singapore,
- Digital Description
- application/pdf, viii, 180 p.
- Table of Contents
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- 1. First-order ordinary differential equation -- 2. Second-order ordinary differential equations -- 3. Third-order differential equations -- 4. Lie point symmetries -- 5. First integrals and differential equation -- 6. Cartan equivalence method -- 7. Painleve test and linearization -- 8. Painleve test and partial differential equations -- 9. Partial differential equations -- 10. Difference equations -- 11. REDUCE programs --12. Jet bundle formalism -- References -- Index.
- Copyright
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- All Rights Reserved. National Library Board Singapore 2009.