Ba?cklund Transformations and Their Applications

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Rogers
Academic Press, Jun 18, 1982 - Computers - 333 pages
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Contents

General Introduction and Outline
1
CHAPTER 1 Bäcklund Transformations and Their Application to Nonlinear Equations of Mathematical Physics
12
CHAPTER 2 A Local JetBundle Formulation of Bäcklund Transformations
123
CHAPTER 3 Bäcklund Transformations in Gasdynamics Nonlinear Heat Conduction and Magnetogasdynamics
151
CHAPTER 4 Bäcklund Transformations and Wave Propagation in Nonlinear Elastic and Nonlinear Dielectric Media
197
CHAPTER 5 Bäcklund Transformations and Stress Distribution Theory in Elastostatics
238
Properties of the Hirota Bilinear Operators
274
Differential Forms
276
Differential Forms on Jet Bundles
286
The Derivation of the Equations that Define W Bk+11Ψ
292
Symmetries of Differential Equations and Exterior Systems
294
Composition of Symmetries and Bäcklund Maps
299
References
302
Author Index
323
Subject Index
329
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About the author (1982)

Bud Rogers is a cartoonist and editor and has been very active in the Christian comics community for the past fifteen years. Bud uses his organizational and management skills to assist artists and writers in realizing their creative visions.

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