Meromorphic Traveling Wave Solutions of the Kuramoto-Sivashinsky Equation
We determine all cases when there exists a meromorphic solution of the ODE vw''' + bw'' + μw' + w²/2+ A = 0. This equation describes traveling waves solutions of the Kuramoto-Sivashinsky equation. It turns out that there are no other meromorphic solutions besides those...
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| Дата: | 2006 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2006
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| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/106619 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Meromorphic Traveling Wave Solutions of the Kuramoto-Sivashinsky Equation / A. Eremenko // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 3. — С. 278-286. — Бібліогр.: 19 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-106619 |
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dspace |
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irk-123456789-1066192016-10-02T03:02:26Z Meromorphic Traveling Wave Solutions of the Kuramoto-Sivashinsky Equation Eremenko, A. We determine all cases when there exists a meromorphic solution of the ODE vw''' + bw'' + μw' + w²/2+ A = 0. This equation describes traveling waves solutions of the Kuramoto-Sivashinsky equation. It turns out that there are no other meromorphic solutions besides those explicit solutions found by Kuramoto and Kudryashov. The general method used in this paper, based on Nevanlinna theory, is applicable to nding all meromorphic solutions of a wide class of nonlinear ODE. 2006 Article Meromorphic Traveling Wave Solutions of the Kuramoto-Sivashinsky Equation / A. Eremenko // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 3. — С. 278-286. — Бібліогр.: 19 назв. — англ. 1812-9471 http://dspace.nbuv.gov.ua/handle/123456789/106619 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We determine all cases when there exists a meromorphic solution of the ODE vw''' + bw'' + μw' + w²/2+ A = 0. This equation describes traveling waves solutions of the Kuramoto-Sivashinsky equation. It turns out that there are no other meromorphic solutions besides those explicit solutions found by Kuramoto and Kudryashov. The general method used in this paper, based on Nevanlinna theory, is applicable to nding all meromorphic solutions of a wide class of nonlinear ODE. |
| format |
Article |
| author |
Eremenko, A. |
| spellingShingle |
Eremenko, A. Meromorphic Traveling Wave Solutions of the Kuramoto-Sivashinsky Equation Журнал математической физики, анализа, геометрии |
| author_facet |
Eremenko, A. |
| author_sort |
Eremenko, A. |
| title |
Meromorphic Traveling Wave Solutions of the Kuramoto-Sivashinsky Equation |
| title_short |
Meromorphic Traveling Wave Solutions of the Kuramoto-Sivashinsky Equation |
| title_full |
Meromorphic Traveling Wave Solutions of the Kuramoto-Sivashinsky Equation |
| title_fullStr |
Meromorphic Traveling Wave Solutions of the Kuramoto-Sivashinsky Equation |
| title_full_unstemmed |
Meromorphic Traveling Wave Solutions of the Kuramoto-Sivashinsky Equation |
| title_sort |
meromorphic traveling wave solutions of the kuramoto-sivashinsky equation |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/106619 |
| citation_txt |
Meromorphic Traveling Wave Solutions of the Kuramoto-Sivashinsky Equation / A. Eremenko // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 3. — С. 278-286. — Бібліогр.: 19 назв. — англ. |
| series |
Журнал математической физики, анализа, геометрии |
| work_keys_str_mv |
AT eremenkoa meromorphictravelingwavesolutionsofthekuramotosivashinskyequation |
| first_indexed |
2023-10-18T20:13:21Z |
| last_indexed |
2023-10-18T20:13:21Z |
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