Front Cover

pp.：  1 – 4

Bäcklund Transformations and Their Applications

pp.：  4 – 5

Copyright Page

pp.：  5 – 8

Contents

pp.：  8 – 12

Preface

pp.：  12 – 14

Acknowledgments

pp.：  14 – 16

General Introduction and Outline

pp.：  16 – 27

CHAPTER 1. Bäcklund Transformations and Their Application to Nonlinear Equations of Mathematical Physics

pp.：  27 – 138

CHAPTER 2. A Local Jet-Bundle Formulation of Bäcklund Transformations

pp.：  138 – 166

CHAPTER 3. Bäcklund Transformations in Gasdynamics, Nonlinear Heat Conduction, and Magnetogasdynamics

pp.：  166 – 212

CHAPTER 4. Bäcklund Transformations and Wave Propagation in Nonlinear Elastic and Nonlinear Dielectric Media

pp.：  212 – 253

CHAPTER 5. Bäcklund Transformations and Stress Distribution Theory in Elastostatics

pp.：  253 – 289

APPENDIX I: Properties of the Hirota Bilinear Operators

pp.：  289 – 291

APPENDIX II: Differential Forms

pp.：  291 – 301

APPENDIX III: Differential Forms on Jet Bundles

pp.：  301 – 307

APPENDIX IV: The Derivation of the Equations that Define W ) Bk+1,1(Ψ)

pp.：  307 – 309

APPENDIX V: Symmetries of Differential Equations and Exterior Systems

pp.：  309 – 314

APPENDIX VI: Composition of Symmetries and Bäcklund Maps

pp.：  314 – 317

References

pp.：  317 – 338

Author Index

pp.：  338 – 344

Subject Index

pp.：  344 – 350