Group Classification of a Generalized Lane-Emden System
We perform the group classification of the generalized Lane-Emden system xu′′+nu′+xHv=0, xv′′+nv′+xgu=0, which occurs in many applications of physical phenomena such as pattern formation, population evolution, and chemical reactions. We obtain four cases depending on the values of n....
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/305032 |
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| _version_ | 1832565277033758720 |
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| author | Ben Muatjetjeja Chaudry Masood Khalique Fazal Mahmood Mahomed |
| author_facet | Ben Muatjetjeja Chaudry Masood Khalique Fazal Mahmood Mahomed |
| author_sort | Ben Muatjetjeja |
| collection | DOAJ |
| description | We perform the group classification of the generalized Lane-Emden system xu′′+nu′+xHv=0, xv′′+nv′+xgu=0, which occurs in many applications of physical phenomena such as pattern formation, population evolution, and chemical reactions. We obtain four cases depending on the values of n. |
| format | Article |
| id | doaj-art-fb15eef8b4724c7f8dad801211e4ef6b |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-fb15eef8b4724c7f8dad801211e4ef6b2025-02-03T01:08:49ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/305032305032Group Classification of a Generalized Lane-Emden SystemBen Muatjetjeja0Chaudry Masood Khalique1Fazal Mahmood Mahomed2Department of Mathematical Sciences, International Institute for Symmetry Analysis and Mathematical Modelling, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, South AfricaDepartment of Mathematical Sciences, International Institute for Symmetry Analysis and Mathematical Modelling, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, South AfricaCentre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, (Wits), Johannesburg 2050, South AfricaWe perform the group classification of the generalized Lane-Emden system xu′′+nu′+xHv=0, xv′′+nv′+xgu=0, which occurs in many applications of physical phenomena such as pattern formation, population evolution, and chemical reactions. We obtain four cases depending on the values of n.http://dx.doi.org/10.1155/2013/305032 |
| spellingShingle | Ben Muatjetjeja Chaudry Masood Khalique Fazal Mahmood Mahomed Group Classification of a Generalized Lane-Emden System Journal of Applied Mathematics |
| title | Group Classification of a Generalized Lane-Emden System |
| title_full | Group Classification of a Generalized Lane-Emden System |
| title_fullStr | Group Classification of a Generalized Lane-Emden System |
| title_full_unstemmed | Group Classification of a Generalized Lane-Emden System |
| title_short | Group Classification of a Generalized Lane-Emden System |
| title_sort | group classification of a generalized lane emden system |
| url | http://dx.doi.org/10.1155/2013/305032 |
| work_keys_str_mv | AT benmuatjetjeja groupclassificationofageneralizedlaneemdensystem AT chaudrymasoodkhalique groupclassificationofageneralizedlaneemdensystem AT fazalmahmoodmahomed groupclassificationofageneralizedlaneemdensystem |