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Group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix
Group classification of systems of two coupled nonlinear reaction-diffusion equations with a general diffusion matrix started in previous author’s works completed in present paper where all nonequivalent equations with triangular diffusion matrix are classified. In addition, symmetries of diffusio...
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Інститут математики НАН України
2007
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| Series: | Український математичний журнал |
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| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/164084 |
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irk-123456789-1640842020-02-09T01:25:30Z Group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix Nikitin, A.G. Статті Group classification of systems of two coupled nonlinear reaction-diffusion equations with a general diffusion matrix started in previous author’s works completed in present paper where all nonequivalent equations with triangular diffusion matrix are classified. In addition, symmetries of diffusion systems with nilpotent diffusion matrix and additional first order derivative terms are described. Завершено групову класифікацію систем двох зачеплених рівнянь реакції-дифузії з загальною матрицею дифузії, розпочату в попередніх роботах автора. A саме, прокласифіковано всі нееквівалентні рівняння з трикутною матрицею дифузії. Крім цього, описано симетрії дифузійних систем з нільпотентною матрицею дифузії та додатковими членами з похідними першого порядку. 2007 Article Group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix / A.G. Nikitin // Український математичний журнал. — 2007. — Т. 59, № 3. — С. 395–411. — Бібліогр.: 13 назв. — англ. 1027-3190 http://dspace.nbuv.gov.ua/handle/123456789/164084 517.95 en Український математичний журнал Інститут математики НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| topic |
Статті Статті |
| spellingShingle |
Статті Статті Nikitin, A.G. Group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix Український математичний журнал |
| description |
Group classification of systems of two coupled nonlinear reaction-diffusion equations with a general
diffusion matrix started in previous author’s works completed in present paper where all nonequivalent
equations with triangular diffusion matrix are classified. In addition, symmetries of diffusion systems
with nilpotent diffusion matrix and additional first order derivative terms are described. |
| format |
Article |
| author |
Nikitin, A.G. |
| author_facet |
Nikitin, A.G. |
| author_sort |
Nikitin, A.G. |
| title |
Group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix |
| title_short |
Group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix |
| title_full |
Group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix |
| title_fullStr |
Group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix |
| title_full_unstemmed |
Group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix |
| title_sort |
group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix |
| publisher |
Інститут математики НАН України |
| publishDate |
2007 |
| topic_facet |
Статті |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/164084 |
| citation_txt |
Group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix / A.G. Nikitin // Український математичний журнал. — 2007. — Т. 59, № 3. — С. 395–411. — Бібліогр.: 13 назв. — англ. |
| series |
Український математичний журнал |
| work_keys_str_mv |
AT nikitinag groupclassificationofsystemsofnonlinearreactiondiffusionequationswithtriangulardiffusionmatrix |
| first_indexed |
2023-10-18T22:12:46Z |
| last_indexed |
2023-10-18T22:12:46Z |
| _version_ |
1796154926940815360 |