Linearization from Complex Lie Point Transformations
Complex Lie point transformations are used to linearize a class of systems of second order ordinary differential equations (ODEs) which have Lie algebras of maximum dimension d, with d≤4. We identify such a class by employing complex structure on the manifold that defines the geometry of differentia...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/793247 |
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| _version_ | 1832565007992225792 |
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| author | Sajid Ali M. Safdar Asghar Qadir |
| author_facet | Sajid Ali M. Safdar Asghar Qadir |
| author_sort | Sajid Ali |
| collection | DOAJ |
| description | Complex Lie point transformations are used to linearize a class of systems of second order ordinary differential equations (ODEs) which have Lie algebras of maximum dimension d, with d≤4. We identify such a class by employing complex structure on the manifold that defines the geometry of differential equations. Furthermore we provide a geometrical construction of the procedure adopted that provides an analogue in R3 of the linearizability criteria in R2. |
| format | Article |
| id | doaj-art-1ada52a427734f59b24869f09a6637c3 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-1ada52a427734f59b24869f09a6637c32025-02-03T01:09:34ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/793247793247Linearization from Complex Lie Point TransformationsSajid Ali0M. Safdar1Asghar Qadir2School of Electrical Engineering and Computer Science, National University of Sciences and Technology, Campus H-12, Islamabad 44000, PakistanSchool of Mechanical and Manufacturing Engineering, National University of Sciences and Technology, Campus H-12, Islamabad 44000, PakistanSchool of Natural Sciences, National University of Sciences and Technology, Campus H-12, Islamabad 44000, PakistanComplex Lie point transformations are used to linearize a class of systems of second order ordinary differential equations (ODEs) which have Lie algebras of maximum dimension d, with d≤4. We identify such a class by employing complex structure on the manifold that defines the geometry of differential equations. Furthermore we provide a geometrical construction of the procedure adopted that provides an analogue in R3 of the linearizability criteria in R2.http://dx.doi.org/10.1155/2014/793247 |
| spellingShingle | Sajid Ali M. Safdar Asghar Qadir Linearization from Complex Lie Point Transformations Journal of Applied Mathematics |
| title | Linearization from Complex Lie Point Transformations |
| title_full | Linearization from Complex Lie Point Transformations |
| title_fullStr | Linearization from Complex Lie Point Transformations |
| title_full_unstemmed | Linearization from Complex Lie Point Transformations |
| title_short | Linearization from Complex Lie Point Transformations |
| title_sort | linearization from complex lie point transformations |
| url | http://dx.doi.org/10.1155/2014/793247 |
| work_keys_str_mv | AT sajidali linearizationfromcomplexliepointtransformations AT msafdar linearizationfromcomplexliepointtransformations AT asgharqadir linearizationfromcomplexliepointtransformations |