Solutions Classification to the Extended Reduced Ostrovsky Equation
An alternative to the Parkes' approach [SIGMA 4 (2008), 053, 17 pages] is suggested for the solutions categorization to the extended reduced Ostrovsky equation (the exROE in Parkes' terminology). The approach is based on the application of the qualitative theory of differential equations w...
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| Дата: | 2008 |
|---|---|
| Автор: | |
| 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/123456789/149006 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Solutions Classification to the Extended Reduced Ostrovsky Equation / Y.A. Stepanyants // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 5 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149006 |
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dspace |
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irk-123456789-1490062019-02-20T01:24:30Z Solutions Classification to the Extended Reduced Ostrovsky Equation Stepanyants, Y.A. An alternative to the Parkes' approach [SIGMA 4 (2008), 053, 17 pages] is suggested for the solutions categorization to the extended reduced Ostrovsky equation (the exROE in Parkes' terminology). The approach is based on the application of the qualitative theory of differential equations which includes a mechanical analogy with the point particle motion in a potential field, the phase plane method, analysis of homoclinic trajectories and the like. Such an approach is seemed more vivid and free of some restrictions contained in [SIGMA 4 (2008), 053, 17 pages]. 2008 Article Solutions Classification to the Extended Reduced Ostrovsky Equation / Y.A. Stepanyants // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 5 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 35Q58; 35Q53; 35C05 http://dspace.nbuv.gov.ua/handle/123456789/149006 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 |
An alternative to the Parkes' approach [SIGMA 4 (2008), 053, 17 pages] is suggested for the solutions categorization to the extended reduced Ostrovsky equation (the exROE in Parkes' terminology). The approach is based on the application of the qualitative theory of differential equations which includes a mechanical analogy with the point particle motion in a potential field, the phase plane method, analysis of homoclinic trajectories and the like. Such an approach is seemed more vivid and free of some restrictions contained in [SIGMA 4 (2008), 053, 17 pages]. |
| format |
Article |
| author |
Stepanyants, Y.A. |
| spellingShingle |
Stepanyants, Y.A. Solutions Classification to the Extended Reduced Ostrovsky Equation Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Stepanyants, Y.A. |
| author_sort |
Stepanyants, Y.A. |
| title |
Solutions Classification to the Extended Reduced Ostrovsky Equation |
| title_short |
Solutions Classification to the Extended Reduced Ostrovsky Equation |
| title_full |
Solutions Classification to the Extended Reduced Ostrovsky Equation |
| title_fullStr |
Solutions Classification to the Extended Reduced Ostrovsky Equation |
| title_full_unstemmed |
Solutions Classification to the Extended Reduced Ostrovsky Equation |
| title_sort |
solutions classification to the extended reduced ostrovsky equation |
| publisher |
Інститут математики НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149006 |
| citation_txt |
Solutions Classification to the Extended Reduced Ostrovsky Equation / Y.A. Stepanyants // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 5 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT stepanyantsya solutionsclassificationtotheextendedreducedostrovskyequation |
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2023-05-20T17:31:36Z |
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2023-05-20T17:31:36Z |
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