Invertible point transformations and nonlinear differential equations

Invertible point transformations and nonlinear differential equations

by Steeb, W.-H

Type Book
Rate 0.0 /5

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 comput…

Read More ↓
Details
Files
Reviews
Download

Title Statements

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

Summary

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.

Read More ↓

Edition Statements

  • Publication Date:©1993.

Publication Statements

  • Publisher(s):World Scientific
  • Place of Publication:Singapore
  • Language:eng
  • Publication Date:©1993.

Notes

Includes 30 programs in the computer language REDUCE.

The Physical Object

  • Description:1 online resource (viii, 180 pages)

Edition Identifiers

  • ISBN:9789814354493, 981435449X
  • oclc:ocn841809161
  • LC Classification:QA372
  • Dewey Decimal:515/.355

Table of Contents

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.

Read More ↓

Subjects

Differential equations, Nonlinear Differential-difference equations Équations différentielles aux différenc… Équations différentielles non linéaires Integrierbarkeit MATHEMATICS -- Differential Equations Nichtlineare Differentialgleichung Punkttransformation Transformations (Mathematics)

Writers

Steeb, W.-H

Rate & Review

0.0/5
(0 people Voted)

No reviews yet. Be the first to rate this work.

Files & Downloads

  • Invertible point transformations and nonlinear di…

    PDF · 44.7 MB · updated
    Login →

  • Invertible Point Transformations and Nonlinear Di…

    DJVU · 1.8 MB · updated
    Login →
Log in to request a copy