Symmetries and Differential Equations [2nd ed.] 9780387986548, 0387986545
This book provides a comprehensive treatment of symmetry methods and dimensional analysis. The authors discuss aspects o
271 77 3MB
English Pages 430 Year 1989
Table of contents :
Front Matter....Pages i-xiii
Introduction....Pages 1-3
Dimensional Analysis, Modelling, and Invariance....Pages 4-30
Lie Groups of Transformations and Infinitesimal Transformations....Pages 31-89
Ordinary Differential Equations....Pages 90-162
Partial Differential Equations....Pages 163-251
Noether’s Theorem and Lie-Bäcklund Symmetries....Pages 252-301
Construction of Mappings Relating Differential Equations....Pages 302-351
Potential Symmetries....Pages 352-383
Back Matter....Pages 384-413
Front Matter....Pages i-xiii
Introduction....Pages 1-3
Dimensional Analysis, Modelling, and Invariance....Pages 4-30
Lie Groups of Transformations and Infinitesimal Transformations....Pages 31-89
Ordinary Differential Equations....Pages 90-162
Partial Differential Equations....Pages 163-251
Noether’s Theorem and Lie-Bäcklund Symmetries....Pages 252-301
Construction of Mappings Relating Differential Equations....Pages 302-351
Potential Symmetries....Pages 352-383
Back Matter....Pages 384-413
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