Invertible point transformations and nonlinear differential equations

Invertible point transformations and nonlinear differential equations

by Steeb, W.-H

Type Book
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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. Painlevé test and linearization -- 8. Painlevé test and partial differential equations -- 9. Partial differential equations -- 10. Difference equations -- 11. REDUCE programs -- 12. Jet bundle formalism The invertible point transformation is a pow…

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Title Statements

  • Full title :Invertible point transformations and nonlinear differential equations / Willi-Hans Steeb

Summary

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. Painlevé test and linearization -- 8. Painlevé test and partial differential equations -- 9. Partial differential equations -- 10. Difference equations -- 11. REDUCE programs -- 12. Jet bundle formalism

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 Painlevé 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

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Edition Statements

  • Publication Date:©1993

Publication Statements

Notes

Includes 30 programs in the computer language REDUCE

The Physical Object

  • Description:1 Online-Ressource (viii, 180 Seiten)

Edition Identifiers

  • ISBN:9810213557, 9789810213558, 9789814354493, 981435449X
  • oclc:on1005226832
  • Dewey Decimal:515.355

Subjects

Differential equations, Nonlinear Differential-difference equations Équations différentielles aux différenc… Équations différentielles non linéaires Transformations (Mathematics)

Writers

Steeb, W.-H

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