Non-Lie Reduction Operators and Potential Transformations for a Special System with Applications in Plasma Physics
Non-Lie reduction operators, also known as nonclassical symmetries, are derived for special systems that appear in Plasma Physics. These operators are used to construct similarity mappings, which reduce the systems under study into systems of ordinary differential equations. Furthermore, potential e...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-02-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/16/2/207 |
| _version_ | 1797296920370085888 |
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| author | Christodoulos Sophocleous |
| author_facet | Christodoulos Sophocleous |
| author_sort | Christodoulos Sophocleous |
| collection | DOAJ |
| description | Non-Lie reduction operators, also known as nonclassical symmetries, are derived for special systems that appear in Plasma Physics. These operators are used to construct similarity mappings, which reduce the systems under study into systems of ordinary differential equations. Furthermore, potential equivalence transformations are presented. Based on these results, a number of exact solutions are constructed. |
| first_indexed | 2024-03-07T22:11:48Z |
| format | Article |
| id | doaj.art-241c8411519944b595821900edbc2982 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-07T22:11:48Z |
| publishDate | 2024-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-241c8411519944b595821900edbc29822024-02-23T15:36:01ZengMDPI AGSymmetry2073-89942024-02-0116220710.3390/sym16020207Non-Lie Reduction Operators and Potential Transformations for a Special System with Applications in Plasma PhysicsChristodoulos Sophocleous0Department of Mathematics and Statistics, University of Cyprus, Nicosia CY 1678, CyprusNon-Lie reduction operators, also known as nonclassical symmetries, are derived for special systems that appear in Plasma Physics. These operators are used to construct similarity mappings, which reduce the systems under study into systems of ordinary differential equations. Furthermore, potential equivalence transformations are presented. Based on these results, a number of exact solutions are constructed.https://www.mdpi.com/2073-8994/16/2/207system of diffusion equationsreduction operatorspotential equivalence transformationsexact solutions |
| spellingShingle | Christodoulos Sophocleous Non-Lie Reduction Operators and Potential Transformations for a Special System with Applications in Plasma Physics Symmetry system of diffusion equations reduction operators potential equivalence transformations exact solutions |
| title | Non-Lie Reduction Operators and Potential Transformations for a Special System with Applications in Plasma Physics |
| title_full | Non-Lie Reduction Operators and Potential Transformations for a Special System with Applications in Plasma Physics |
| title_fullStr | Non-Lie Reduction Operators and Potential Transformations for a Special System with Applications in Plasma Physics |
| title_full_unstemmed | Non-Lie Reduction Operators and Potential Transformations for a Special System with Applications in Plasma Physics |
| title_short | Non-Lie Reduction Operators and Potential Transformations for a Special System with Applications in Plasma Physics |
| title_sort | non lie reduction operators and potential transformations for a special system with applications in plasma physics |
| topic | system of diffusion equations reduction operators potential equivalence transformations exact solutions |
| url | https://www.mdpi.com/2073-8994/16/2/207 |
| work_keys_str_mv | AT christodoulossophocleous nonliereductionoperatorsandpotentialtransformationsforaspecialsystemwithapplicationsinplasmaphysics |