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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2008 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2008
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| Онлайн доступ: | https://nasplib.isofts.kiev.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| _version_ | 1862715432217083904 |
|---|---|
| author | Stepanyants, Y.A. |
| author_facet | Stepanyants, Y.A. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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].
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| first_indexed | 2025-12-07T17:57:52Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149006 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T17:57:52Z |
| publishDate | 2008 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Stepanyants, Y.A. 2019-02-19T12:54:54Z 2019-02-19T12:54:54Z 2008 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 https://nasplib.isofts.kiev.ua/handle/123456789/149006 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]. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Solutions Classification to the Extended Reduced Ostrovsky Equation Article published earlier |
| spellingShingle | Solutions Classification to the Extended Reduced Ostrovsky Equation Stepanyants, Y.A. |
| title | 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_short | Solutions Classification to the Extended Reduced Ostrovsky Equation |
| title_sort | solutions classification to the extended reduced ostrovsky equation |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149006 |
| work_keys_str_mv | AT stepanyantsya solutionsclassificationtotheextendedreducedostrovskyequation |