Continuous Symmetries, Lie Algebras, Differential Equations And Computer Algebra
Seiten
1996
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-2891-0 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-2891-0 (ISBN)
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This work offers an introduction to the application of continuous symmetries and their Lie algebras to ordinary and partial differential equations. It should be suitable for students and research workers whose main interest lies in finding solutions to differential equations.
This book is a comprehensive introduction to the application of continuous symmetries and their Lie algebras to ordinary and partial differential equations. It is suitable for students and research workers whose main interest lies in finding solutions to differential equations. It therefore caters for readers primarily interested in applied mathematics and physics rather than pure mathematics.The book provides an application-orientated text that is reasonably self-contained. A large number of worked examples have been included to help readers working independently of a teacher. The advance of algebraic computation has made it possible to write programs for the tedious calculations in this research field, and thus the book also makes a survey of computer algebra packages.
This book is a comprehensive introduction to the application of continuous symmetries and their Lie algebras to ordinary and partial differential equations. It is suitable for students and research workers whose main interest lies in finding solutions to differential equations. It therefore caters for readers primarily interested in applied mathematics and physics rather than pure mathematics.The book provides an application-orientated text that is reasonably self-contained. A large number of worked examples have been included to help readers working independently of a teacher. The advance of algebraic computation has made it possible to write programs for the tedious calculations in this research field, and thus the book also makes a survey of computer algebra packages.
Groups; Lie groups and Lie transformation groups; infinitessimal transformations; Lie algebras; introductory examples; differential forms and tensor fields; Lie derivative and invariance; invariance of differential equations; Lie-Backlund vector fields; differential equation for a given Lie algebra; a list of Lie symmetry vector fields; recursion operators; Backlund transformations; lax representations; conservation laws; symmetries and Painleve test; Lie-algebra-valued differential forms; Bose operators and Lie algebras; computer algebra.
| Erscheint lt. Verlag | 1.9.1996 |
|---|---|
| Verlagsort | Singapore |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
| Mathematik / Informatik ► Mathematik ► Analysis | |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Naturwissenschaften ► Physik / Astronomie | |
| ISBN-10 | 981-02-2891-0 / 9810228910 |
| ISBN-13 | 978-981-02-2891-0 / 9789810228910 |
| Zustand | Neuware |
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