Nonlinear Symmetries and Nonlinear Equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1994
|
| Series: | Mathematics and Its Applications
299 |
| Subjects: | |
| Online Access: | Volltext |
| Item 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 different physical situations -up to the point that a lot, if not most, of current fundamental elementary particles physics is actually (physical interpretation of) group theory -the application of symmetry methods to differential 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 |
| Physical Description: | 1 Online-Ressource (XIX, 258 p) |
| ISBN: | 9789401110181 9789401044431 |
| DOI: | 10.1007/978-94-011-1018-1 |
Staff View
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| 500 | |a 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 different physical situations -up to the point that a lot, if not most, of current fundamental elementary particles physics is actually (physical interpretation of) group theory -the application of symmetry methods to differential 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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Record in the Search Index
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| author | Gaeta, Giuseppe |
| author_facet | Gaeta, Giuseppe |
| author_role | aut |
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| author_variant | g g gg |
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| ctrlnum | (OCoLC)1184339348 (DE-599)BVBBV042423836 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-sort | 3515.352 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-011-1018-1 |
| format | Electronic eBook |
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| id | DE-604.BV042423836 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:14Z |
| institution | BVB |
| isbn | 9789401110181 9789401044431 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027859253 |
| oclc_num | 1184339348 |
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| physical | 1 Online-Ressource (XIX, 258 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Springer Netherlands |
| record_format | marc |
| series | Mathematics and Its Applications |
| series2 | Mathematics and Its Applications |
| spelling | Gaeta, Giuseppe Verfasser aut Nonlinear Symmetries and Nonlinear Equations by Giuseppe Gaeta Dordrecht Springer Netherlands 1994 1 Online-Ressource (XIX, 258 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 299 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 different physical situations -up to the point that a lot, if not most, of current fundamental elementary particles physics is actually (physical interpretation of) group theory -the application of symmetry methods to differential 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 Mathematics Differential Equations Differential equations, partial Ordinary Differential Equations Partial Differential Equations Theoretical, Mathematical and Computational Physics Mathematik Nichtlineare algebraische Gleichung (DE-588)4298314-9 gnd rswk-swf Symmetrie (DE-588)4058724-1 gnd rswk-swf Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd rswk-swf Nichtlineare algebraische Gleichung (DE-588)4298314-9 s Symmetrie (DE-588)4058724-1 s 1\p DE-604 Nichtlineare Differentialgleichung (DE-588)4205536-2 s 2\p DE-604 Mathematics and Its Applications 299 (DE-604)BV008163334 299 https://doi.org/10.1007/978-94-011-1018-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gaeta, Giuseppe Nonlinear Symmetries and Nonlinear Equations Mathematics and Its Applications Mathematics Differential Equations Differential equations, partial Ordinary Differential Equations Partial Differential Equations Theoretical, Mathematical and Computational Physics Mathematik Nichtlineare algebraische Gleichung (DE-588)4298314-9 gnd Symmetrie (DE-588)4058724-1 gnd Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd |
| subject_GND | (DE-588)4298314-9 (DE-588)4058724-1 (DE-588)4205536-2 |
| title | Nonlinear Symmetries and Nonlinear Equations |
| title_auth | Nonlinear Symmetries and Nonlinear Equations |
| title_exact_search | Nonlinear Symmetries and Nonlinear Equations |
| title_full | Nonlinear Symmetries and Nonlinear Equations by Giuseppe Gaeta |
| title_fullStr | Nonlinear Symmetries and Nonlinear Equations by Giuseppe Gaeta |
| title_full_unstemmed | Nonlinear Symmetries and Nonlinear Equations by Giuseppe Gaeta |
| title_short | Nonlinear Symmetries and Nonlinear Equations |
| title_sort | nonlinear symmetries and nonlinear equations |
| topic | Mathematics Differential Equations Differential equations, partial Ordinary Differential Equations Partial Differential Equations Theoretical, Mathematical and Computational Physics Mathematik Nichtlineare algebraische Gleichung (DE-588)4298314-9 gnd Symmetrie (DE-588)4058724-1 gnd Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd |
| topic_facet | Mathematics Differential Equations Differential equations, partial Ordinary Differential Equations Partial Differential Equations Theoretical, Mathematical and Computational Physics Mathematik Nichtlineare algebraische Gleichung Symmetrie Nichtlineare Differentialgleichung |
| url | https://doi.org/10.1007/978-94-011-1018-1 |
| volume_link | (DE-604)BV008163334 |
| work_keys_str_mv | AT gaetagiuseppe nonlinearsymmetriesandnonlinearequations |