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Gaeta G  Nonlinear Symmetries and Nonlinear Equations 1994 Empty Gaeta G Nonlinear Symmetries and Nonlinear Equations 1994

Lun Jun 06, 2022 9:16 pm

Gaeta G  Nonlinear Symmetries and Nonlinear Equations 1994 E312c2a994f573db1623c4f1a890d7a2
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pdf | 12.26 MB | English | Isbn:‎ 978-9401044431 | Author: G. Gaeta | Year: 1994

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Description:

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.



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