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The Resource Lie-Bäcklund transformations in applications, Robert L. Anderson, Nail H. Ibragimov, (electronic resource)

Lie-Bäcklund transformations in applications, Robert L. Anderson, Nail H. Ibragimov, (electronic resource)

Label
Lie-Bäcklund transformations in applications
Title
Lie-Bäcklund transformations in applications
Statement of responsibility
Robert L. Anderson, Nail H. Ibragimov
Creator
Contributor
Subject
Language
eng
Summary
This title presents an introduction to the classical treatment of Backlund and general surface transformations; and includes detailed and accessible techniques for constructing both groups of tranformations which will be of great value to the scientist and engineer in the analysis of mathematical models of physical phenomena. Classical and recent examples of Backlund transformations as applied to geometry, nonlinear optics, turbulence models, nonlinear waves and quantum mechanics are given. The authors discuss applications of Lie-Backlund transformations in mechanics, quantum mechanics, gas dynamics, hydrodynamics, and relativity
Member of
Additional physical form
Also available in print version.
Cataloging source
CaBNVSL
Illustrations
illustrations
Index
index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
SIAM studies in applied mathematics
Series volume
1
Target audience
adult
Lie-Bäcklund transformations in applications, Robert L. Anderson, Nail H. Ibragimov, (electronic resource)
Label
Lie-Bäcklund transformations in applications, Robert L. Anderson, Nail H. Ibragimov, (electronic resource)
Link
http://libproxy.rpi.edu/login?url=http://epubs.siam.org/ebooks/siam/studies_in_applied_and_numerical_mathematics/am01
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Bibliography note
Includes bibliographical references (p. 119-121) and index
Color
black and white
Contents
Introduction -- Classical foundations -- Surface-transformations: Lie's first questions; Finite-order generalization; Infinite-order structure -- Tranformation of families of surfaces: Lie's second question; Bianchi-Lie tranformation; Backlund transformations -- Examples of Backlund transformations: Invariance transformations -- Transformations relating different differential equations -- Tangent transformation groups: Finite-order tangent tranformations; Tangent transformation groups of Sophus Lie; Higher-order tangent transformation groups; Infinite-order tangent transformations -- Lie-Backlund tangent transformation groups; Lie-Backlund equations -- Application to differential equations: Defining equations -- Group theoretical nature of conservation laws; Lie via Lie-Backlund for ordinary differential equations; Group theoretical equivalence of quantum-mechanical systems -- Some applications of Backlund transformations: Nonlinear optics; Solitons and the KdV equation; Constants of the motion and conservation laws; Weakly dispersive shallow-water waves in two space dimensions
http://library.link/vocab/cover_art
https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9781611970913&userID=ebsco-test&password=ebsco-test
Dimensions
unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b3128719'}
Extent
1 electronic text (x, 124 p.)
File format
multiple file formats
Form of item
online
Governing access note
Restricted to subscribers or individual electronic text purchasers
Isbn
9781611970913
Isbn Type
(electronic bk.)
Lccn
78078207 //r842
Other physical details
ill., digital file.
Publisher number
AM01
Reformatting quality
access
Specific material designation
remote
System details
  • Mode of access: World Wide Web
  • System requirements: Adobe Acrobat Reader

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