Group Classification of the General Evolution Equation: Local and Quasilocal Symmetries
We give a review of our recent results on group classification of the most general nonlinear evolution equation in one spatial variable. The method applied relies heavily on the results of our paper, Acta Appl. Math., 69, 2001, in which we obtain the complete solution of the group classification pro...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2005 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2005
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/209351 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Group Classification of the General Evolution Equation: Local and Quasilocal Symmetries / R. Zhdanov, V. Lahno // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 28 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862624893560946688 |
|---|---|
| author | Zhdanov, R. Lahno, V. |
| author_facet | Zhdanov, R. Lahno, V. |
| citation_txt | Group Classification of the General Evolution Equation: Local and Quasilocal Symmetries / R. Zhdanov, V. Lahno // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 28 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We give a review of our recent results on group classification of the most general nonlinear evolution equation in one spatial variable. The method applied relies heavily on the results of our paper, Acta Appl. Math., 69, 2001, in which we obtain the complete solution of the group classification problem for a general quasilinear evolution equation.
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| first_indexed | 2025-12-07T13:33:47Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-209351 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T13:33:47Z |
| publishDate | 2005 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Zhdanov, R. Lahno, V. 2025-11-19T12:28:31Z 2005 Group Classification of the General Evolution Equation: Local and Quasilocal Symmetries / R. Zhdanov, V. Lahno // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 28 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 35K55; 58J70 https://nasplib.isofts.kiev.ua/handle/123456789/209351 https://doi.org/10.3842/SIGMA.2005.009 We give a review of our recent results on group classification of the most general nonlinear evolution equation in one spatial variable. The method applied relies heavily on the results of our paper, Acta Appl. Math., 69, 2001, in which we obtain the complete solution of the group classification problem for a general quasilinear evolution equation. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Group Classification of the General Evolution Equation: Local and Quasilocal Symmetries Article published earlier |
| spellingShingle | Group Classification of the General Evolution Equation: Local and Quasilocal Symmetries Zhdanov, R. Lahno, V. |
| title | Group Classification of the General Evolution Equation: Local and Quasilocal Symmetries |
| title_full | Group Classification of the General Evolution Equation: Local and Quasilocal Symmetries |
| title_fullStr | Group Classification of the General Evolution Equation: Local and Quasilocal Symmetries |
| title_full_unstemmed | Group Classification of the General Evolution Equation: Local and Quasilocal Symmetries |
| title_short | Group Classification of the General Evolution Equation: Local and Quasilocal Symmetries |
| title_sort | group classification of the general evolution equation: local and quasilocal symmetries |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/209351 |
| work_keys_str_mv | AT zhdanovr groupclassificationofthegeneralevolutionequationlocalandquasilocalsymmetries AT lahnov groupclassificationofthegeneralevolutionequationlocalandquasilocalsymmetries |