Lie Group Classification of a Generalized Lane-Emden Type System in Two Dimensions
The aim of this work is to perform a complete Lie symmetry classification of a generalized Lane-Emden type system in two dimensions which models many physical phenomena in biological and physical sciences. The classical approach of group classification is employed for classification. We show that se...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/405978 |
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| _version_ | 1832556448475774976 |
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| author | Motlatsi Molati Chaudry Masood Khalique |
| author_facet | Motlatsi Molati Chaudry Masood Khalique |
| author_sort | Motlatsi Molati |
| collection | DOAJ |
| description | The aim of this work is to perform a complete Lie symmetry classification of a generalized Lane-Emden type system in two dimensions which models many physical phenomena in biological and physical sciences. The classical approach of group classification is employed for classification. We show that several cases arise in classifying the arbitrary parameters, the forms of which include amongst others the power law nonlinearity, and exponential and quadratic forms. |
| format | Article |
| id | doaj-art-0709c3efc5324511b890c69889664538 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-0709c3efc5324511b890c698896645382025-02-03T05:45:15ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/405978405978Lie Group Classification of a Generalized Lane-Emden Type System in Two DimensionsMotlatsi Molati0Chaudry Masood Khalique1International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South AfricaInternational Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South AfricaThe aim of this work is to perform a complete Lie symmetry classification of a generalized Lane-Emden type system in two dimensions which models many physical phenomena in biological and physical sciences. The classical approach of group classification is employed for classification. We show that several cases arise in classifying the arbitrary parameters, the forms of which include amongst others the power law nonlinearity, and exponential and quadratic forms.http://dx.doi.org/10.1155/2012/405978 |
| spellingShingle | Motlatsi Molati Chaudry Masood Khalique Lie Group Classification of a Generalized Lane-Emden Type System in Two Dimensions Journal of Applied Mathematics |
| title | Lie Group Classification of a Generalized Lane-Emden Type System in Two Dimensions |
| title_full | Lie Group Classification of a Generalized Lane-Emden Type System in Two Dimensions |
| title_fullStr | Lie Group Classification of a Generalized Lane-Emden Type System in Two Dimensions |
| title_full_unstemmed | Lie Group Classification of a Generalized Lane-Emden Type System in Two Dimensions |
| title_short | Lie Group Classification of a Generalized Lane-Emden Type System in Two Dimensions |
| title_sort | lie group classification of a generalized lane emden type system in two dimensions |
| url | http://dx.doi.org/10.1155/2012/405978 |
| work_keys_str_mv | AT motlatsimolati liegroupclassificationofageneralizedlaneemdentypesystemintwodimensions AT chaudrymasoodkhalique liegroupclassificationofageneralizedlaneemdentypesystemintwodimensions |