Nonlinear Symmetries and Nonlinear Equations

October 14, 2012|
Nonlinear Symmetries and Nonlinear Equations by G. Gaeta
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The study of (nonlinear) dift"erential equations was S. Lie's motivation when he created what is now known as Lie groups and Lie algebras; nevertheless, although Lie group and algebra theory flourished and was applied to a number of dift"erent physical situations -up to the point that a lot, if not most, of current fun­ damental elementary particles physics is actually (physical interpretation of) group theory -the application of symmetry methods to dift"erential equations remained a sleeping beauty for many, many years. The main reason for this lies probably in a fact that is quite clear to any beginner in the field. Namely, the formidable comple:rity ofthe (algebraic, not numerical!) computations involved in Lie method. I think this does not account completely for this oblivion: in other fields of Physics very hard analytical computations have been worked through; anyway, one easily understands that systems of dOlens of coupled PDEs do not seem very attractive, nor a very practical computational tool.
Title:Nonlinear Symmetries and Nonlinear EquationsFormat:PaperbackProduct dimensions:258 pages, 9.45 X 6.3 X 0 inShipping dimensions:258 pages, 9.45 X 6.3 X 0 inPublished:October 14, 2012Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9401044430

ISBN - 13:9789401044431

Appropriate for ages: All ages

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