Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions
A list of forty third-order exactly integrable two-field evolutionary systems is presented. Differential substitutions connecting various systems from the list are found. It is proved that all the systems can be obtained from only two of them. Examples of zero curvature representations with 4 × 4 ma...
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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2008 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2008
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148971 |
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| Цитувати: | Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions / A.G. Meshkov, M.Ju. Balakhnev // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 45 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-148971 |
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dspace |
| spelling |
irk-123456789-1489712019-02-20T01:25:21Z Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions Meshkov, A.G. Balakhnev, M.Ju. A list of forty third-order exactly integrable two-field evolutionary systems is presented. Differential substitutions connecting various systems from the list are found. It is proved that all the systems can be obtained from only two of them. Examples of zero curvature representations with 4 × 4 matrices are presented. 2008 Article Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions / A.G. Meshkov, M.Ju. Balakhnev // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 45 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 37K10; 35Q53; 37K20 http://dspace.nbuv.gov.ua/handle/123456789/148971 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
A list of forty third-order exactly integrable two-field evolutionary systems is presented. Differential substitutions connecting various systems from the list are found. It is proved that all the systems can be obtained from only two of them. Examples of zero curvature representations with 4 × 4 matrices are presented. |
| format |
Article |
| author |
Meshkov, A.G. Balakhnev, M.Ju. |
| spellingShingle |
Meshkov, A.G. Balakhnev, M.Ju. Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Meshkov, A.G. Balakhnev, M.Ju. |
| author_sort |
Meshkov, A.G. |
| title |
Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions |
| title_short |
Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions |
| title_full |
Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions |
| title_fullStr |
Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions |
| title_full_unstemmed |
Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions |
| title_sort |
two-field integrable evolutionary systems of the third order and their differential substitutions |
| publisher |
Інститут математики НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148971 |
| citation_txt |
Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions / A.G. Meshkov, M.Ju. Balakhnev // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 45 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT meshkovag twofieldintegrableevolutionarysystemsofthethirdorderandtheirdifferentialsubstitutions AT balakhnevmju twofieldintegrableevolutionarysystemsofthethirdorderandtheirdifferentialsubstitutions |
| first_indexed |
2023-05-20T17:31:55Z |
| last_indexed |
2023-05-20T17:31:55Z |
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1796153511337000960 |