Skip to content
Register Sign in Wishlist
Lie-Backlund Transformations in Applications

Lie-Backlund Transformations in Applications

Part of Studies in Applied and Numerical Mathematics

  • Date Published: June 1979
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Hardback
  • isbn: 9780898711516


Add to wishlist

Looking for an inspection copy?

Please email to enquire about an inspection copy of this book

Product filter button
About the Authors
  • 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.

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity


    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?


    Product details

    • Date Published: June 1979
    • format: Hardback
    • isbn: 9780898711516
    • length: 134 pages
    • dimensions: 235 x 160 x 20 mm
    • weight: 0.401kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    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.

  • Authors

    Robert L. Anderson

    Nail H. Ibragimov

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.