Nonlinear Boundary Value Problems in Science and Engineering 9780125931106, 0125931107
293 4 2MB
English Pages iv-xiii, 1-416 [429] Year 1989
Table of contents :
Content:
Edited by
Page iv
Copyright page
Page v
Dedication
Page vi
Preface
Pages xi-xii
Acknowledgements
Page xiii
Chapter 1 Bäcklund and Involutory Transformations
Pages 1-88
Chapter 2 Bergman-Type Expansion Methods. Nonlinear Moving Boundary and Stefan-Boltzmann Problems
Pages 89-145
Chapter 3 Model Constitutive Laws
Pages 147-210
Chapter 4 Invariance Group Analysis and Its Applications
Pages 211-346
Appendix I Tables of Symmetry Group Generators
Pages 347-386
Appendix II The Nonlinear Superposition Principle for Pinney's Equation: Derivation via Lie Group Theory
Pages 387-389
Appendix III Glossary of Lie-Algebraic Terms
Pages 390-392
References Review Article
Pages 393-410
Index
Pages 411-416
Content:
Edited by
Page iv
Copyright page
Page v
Dedication
Page vi
Preface
Pages xi-xii
Acknowledgements
Page xiii
Chapter 1 Bäcklund and Involutory Transformations
Pages 1-88
Chapter 2 Bergman-Type Expansion Methods. Nonlinear Moving Boundary and Stefan-Boltzmann Problems
Pages 89-145
Chapter 3 Model Constitutive Laws
Pages 147-210
Chapter 4 Invariance Group Analysis and Its Applications
Pages 211-346
Appendix I Tables of Symmetry Group Generators
Pages 347-386
Appendix II The Nonlinear Superposition Principle for Pinney's Equation: Derivation via Lie Group Theory
Pages 387-389
Appendix III Glossary of Lie-Algebraic Terms
Pages 390-392
References Review Article
Pages 393-410
Index
Pages 411-416
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