On a Whitham-Type Equation
The Hunter-Saxton equation and the Gurevich-Zybin system are considered as two mutually non-equivalent representations of one and the same Whitham-type equation, and all their common solutions are obtained exactly.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2009 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149083 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On a Whitham-Type Equation / S. Sakovich // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 21 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862631039739887616 |
|---|---|
| author | Sakovich, S. |
| author_facet | Sakovich, S. |
| citation_txt | On a Whitham-Type Equation / S. Sakovich // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 21 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The Hunter-Saxton equation and the Gurevich-Zybin system are considered as two mutually non-equivalent representations of one and the same Whitham-type equation, and all their common solutions are obtained exactly.
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| first_indexed | 2025-11-30T10:41:07Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149083 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-30T10:41:07Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Sakovich, S. 2019-02-19T17:06:32Z 2019-02-19T17:06:32Z 2009 On a Whitham-Type Equation / S. Sakovich // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 21 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 35Q58; 35C05 https://nasplib.isofts.kiev.ua/handle/123456789/149083 The Hunter-Saxton equation and the Gurevich-Zybin system are considered as two mutually non-equivalent representations of one and the same Whitham-type equation, and all their common solutions are obtained exactly. The author is deeply grateful to Professor E.V. Ferapontov and Professor M.V. Pavlov for pointing out the origin of the system (3), to the referees for their useful suggestions, and to the Max-Planck-Institut f¨ur Mathematik for hospitality and support. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On a Whitham-Type Equation Article published earlier |
| spellingShingle | On a Whitham-Type Equation Sakovich, S. |
| title | On a Whitham-Type Equation |
| title_full | On a Whitham-Type Equation |
| title_fullStr | On a Whitham-Type Equation |
| title_full_unstemmed | On a Whitham-Type Equation |
| title_short | On a Whitham-Type Equation |
| title_sort | on a whitham-type equation |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149083 |
| work_keys_str_mv | AT sakovichs onawhithamtypeequation |