Integrable Anisotropic Evolution Equations on a Sphere
V.V. Sokolov's modifying symmetry approach is applied to anisotropic evolution equations of the third order on the n-dimensional sphere. The main result is a complete classification of such equations. Auto-Bäcklund transformations are also found for all equations.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2005-12-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://www.emis.de/journals/SIGMA/2005/Paper027/ |
| _version_ | 1811309207937351680 |
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| author | Anatoly G. Meshkov Maxim Ju. Balakhnev |
| author_facet | Anatoly G. Meshkov Maxim Ju. Balakhnev |
| author_sort | Anatoly G. Meshkov |
| collection | DOAJ |
| description | V.V. Sokolov's modifying symmetry approach is applied to anisotropic evolution equations of the third order on the n-dimensional sphere. The main result is a complete classification of such equations. Auto-Bäcklund transformations are also found for all equations. |
| first_indexed | 2024-04-13T09:38:11Z |
| format | Article |
| id | doaj.art-d0cb03d688f04379ac7ebd36e172fa46 |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-04-13T09:38:11Z |
| publishDate | 2005-12-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-d0cb03d688f04379ac7ebd36e172fa462022-12-22T02:52:02ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592005-12-011027Integrable Anisotropic Evolution Equations on a SphereAnatoly G. MeshkovMaxim Ju. BalakhnevV.V. Sokolov's modifying symmetry approach is applied to anisotropic evolution equations of the third order on the n-dimensional sphere. The main result is a complete classification of such equations. Auto-Bäcklund transformations are also found for all equations.http://www.emis.de/journals/SIGMA/2005/Paper027/evolution equationequation on a sphereintegrabilitysymmetry classificationanisotropyconserved densitiesBäcklund transformations |
| spellingShingle | Anatoly G. Meshkov Maxim Ju. Balakhnev Integrable Anisotropic Evolution Equations on a Sphere Symmetry, Integrability and Geometry: Methods and Applications evolution equation equation on a sphere integrability symmetry classification anisotropy conserved densities Bäcklund transformations |
| title | Integrable Anisotropic Evolution Equations on a Sphere |
| title_full | Integrable Anisotropic Evolution Equations on a Sphere |
| title_fullStr | Integrable Anisotropic Evolution Equations on a Sphere |
| title_full_unstemmed | Integrable Anisotropic Evolution Equations on a Sphere |
| title_short | Integrable Anisotropic Evolution Equations on a Sphere |
| title_sort | integrable anisotropic evolution equations on a sphere |
| topic | evolution equation equation on a sphere integrability symmetry classification anisotropy conserved densities Bäcklund transformations |
| url | http://www.emis.de/journals/SIGMA/2005/Paper027/ |
| work_keys_str_mv | AT anatolygmeshkov integrableanisotropicevolutionequationsonasphere AT maximjubalakhnev integrableanisotropicevolutionequationsonasphere |