Group Analysis of Differential Equations
β Scribed by L. V. Ovsiannikov (Auth.)
- Publisher
- Elsevier Inc, Academic Press
- Year
- 1982
- Tongue
- English
- Leaves
- 427
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Content:
Front Matter, Page iii
Copyright, Page iv
Editor's Preface, Page vii
Preface, Pages ix-xiv
Notation, Pages xv-xvi
CHAPTER I - One-Parameter Transformation Groups, Pages 1-47
CHAPTER II - Groups Admitted by Differential Equations, Pages 48-90
CHAPTER III - Full Groups of Concrete Systems of Equations, Pages 91-139
CHAPTER IV - The Lie Theory, Pages 140-223
CHAPTER V - Invariant Solutions, Pages 224-272
CHAPTER VI - Partial Invariance, Pages 273-310
CHAPTER VII - Differential Invariants, Pages 311-340
CHAPTER VIII - Special Problems, Pages 341-391
APPENDIX - Tables of Calculated Full Groups, Pages 392-403
Supplementary References, Pages 404-406
Index, Pages 407-416
π SIMILAR VOLUMES
<span>Lie group analysis, based on symmetry and invariance principles, is the only systematic method for solving nonlinear differential equations analytically. One of Lie's striking achievements was the discovery that the majority of classical devices for integration of special types of ordinary dif