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-Backlund transformations are also found for all equations.
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2005 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2005
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/209333 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Integrable Anisotropic Evolution Equations on a Sphere / A.G. Meshkov, M.Ju. Balakhnev // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 13 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862593338958413824 |
|---|---|
| author | Meshkov, A.G. Balakhnev, M.Ju. |
| author_facet | Meshkov, A.G. Balakhnev, M.Ju. |
| citation_txt | Integrable Anisotropic Evolution Equations on a Sphere / A.G. Meshkov, M.Ju. Balakhnev // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 13 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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-Backlund transformations are also found for all equations.
|
| first_indexed | 2025-11-27T09:50:39Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-209333 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-27T09:50:39Z |
| publishDate | 2005 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Meshkov, A.G. Balakhnev, M.Ju. 2025-11-19T12:17:55Z 2005 Integrable Anisotropic Evolution Equations on a Sphere / A.G. Meshkov, M.Ju. Balakhnev // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 13 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 35Q58; 35L65; 37K10; 37K35 https://nasplib.isofts.kiev.ua/handle/123456789/209333 https://doi.org/10.3842/SIGMA.2005.027 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-Backlund transformations are also found for all equations. This research was supported by RFBR grant 05-01-96403. We are also grateful to V.V. Sokolov for many stimulating discussions. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Integrable Anisotropic Evolution Equations on a Sphere Article published earlier |
| spellingShingle | Integrable Anisotropic Evolution Equations on a Sphere Meshkov, A.G. Balakhnev, M.Ju. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/209333 |
| work_keys_str_mv | AT meshkovag integrableanisotropicevolutionequationsonasphere AT balakhnevmju integrableanisotropicevolutionequationsonasphere |