| 書目名稱 | Nonlinear Symmetries and Nonlinear Equations |
| 編輯 | Giuseppe Gaeta |
| 視頻video | http://file.papertrans.cn/668/667711/667711.mp4 |
| 叢書名稱 | Mathematics and Its Applications |
| 圖書封面 |  |
| 描述 | 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. |
| 出版日期 | Book 1994 |
| 關鍵詞 | bifurcation; differential equation; dynamical systems; geometry; mathematical physics; ordinary different |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-94-011-1018-1 |
| isbn_softcover | 978-94-010-4443-1 |
| isbn_ebook | 978-94-011-1018-1 |
| copyright | Springer Science+Business Media Dordrecht 1994 |
|Archiver|手機版|小黑屋|
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