Lie-Backlund Transformations in Applications (SIAM Studies in Applied and Numerical Methematics) (Studies in Applied and Numerical Mathematics)

Lie-Backlund Transformations in Applications (SIAM Studies in Applied and Numerical Methematics) (Studies in Applied and Numerical Mathematics)
By Robert L. Anderson, Nail H. Ibragimov


Publisher: Society for Industrial Mathematics
Number Of Pages: 134
Publication Date: 1987-01-01
ISBN-10 / ASIN: 0898711517
ISBN-13 / EAN: 9780898711516
Binding: Hardcover








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.

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