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Bäcklund Transformations and Their Applications
References
edited_book
Publication date
(Print):
1982
Publisher:
Elsevier
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Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
N. J. Zabusky
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M. D. Kruskal
(1965)
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Symmetry Breaking through Bell-Jackiw Anomalies
G. 'T HOOFT
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XLI.On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves
D. Korteweg
,
Raymond De Vries
(1895)
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Book Chapter
Publication date (Print):
1982
Pages
: 302-321
DOI:
10.1016/S0076-5392(08)63085-4
SO-VID:
82298d17-c9a7-4b98-8772-49241c35de4b
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Book chapters
pp. iii
Edited by
pp. iv
Copyright page
pp. v
Dedication
pp. xi
Preface
pp. xiii
Acknowledgments
pp. 1
General Introduction and Outline
pp. 12
CHAPTER 1 Bäcklund Transformations and Their Application to Nonlinear Equations of Mathematical Physics
pp. 123
CHAPTER 2 A Local Jet-Bundle Formulation of Bäcklund Transformations
pp. 151
CHAPTER 3 Bäcklund Transformations in Gasdynamics, Nonlinear Heat Conduction, and Magnetogasdynamics
pp. 197
CHAPTER 4 Bäcklund Transformations and Wave Propagation in Nonlinear Elastic and Nonlinear Dielectric Media
pp. 238
CHAPTER 5 Bäcklund Transformations and Stress Distribution Theory in Elastostatics
pp. 274
APPENDIX I Properties of the Hirota Bilinear Operators
pp. 276
APPENDIX II Differential Forms
pp. 286
APPENDIX III Differential Forms on Jet Bundles
pp. 292
APPENDIX IV The Derivation of the Equations That Define Bk+1,1 (Ψ)
pp. 294
APPENDIX V Symmetries of Differential Equations and Exterior Systems
pp. 299
APPENDIX VI Composition of Symmetries and Bäcklund Maps
pp. 302
References
pp. 323
Author Index
pp. 329
Subject Index
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