Bäcklund Transformations and Their Applications

Content: 
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Page iii

Copyright page
Page iv

Dedication
Page v

Preface
Pages xi-xii

Acknowledgments
Page xiii

General Introduction and Outline
Pages 1-11

CHAPTER 1 Bäcklund Transformations and Their Application to Nonlinear Equations of Mathematical Physics
Pages 12-122

CHAPTER 2 A Local Jet-Bundle Formulation of Bäcklund Transformations
Pages 123-150

CHAPTER 3 Bäcklund Transformations in Gasdynamics, Nonlinear Heat Conduction, and Magnetogasdynamics
Pages 151-196

CHAPTER 4 Bäcklund Transformations and Wave Propagation in Nonlinear Elastic and Nonlinear Dielectric Media
Pages 197-237

CHAPTER 5 Bäcklund Transformations and Stress Distribution Theory in Elastostatics
Pages 238-273

APPENDIX I Properties of the Hirota Bilinear Operators
Pages 274-275

APPENDIX II Differential Forms
Pages 276-285

APPENDIX III Differential Forms on Jet Bundles
Pages 286-291

APPENDIX IV The Derivation of the Equations That Define Bk+1,1 (Ψ)
Pages 292-293

APPENDIX V Symmetries of Differential Equations and Exterior Systems
Pages 294-298

APPENDIX VI Composition of Symmetries and Bäcklund Maps
Pages 299-301

References
Pages 302-321

Author Index
Pages 323-328

Subject Index
Pages 329-334