Simple Lax Description of the ILW Hierarchy
In this note, we present a simple Lax description of the hierarchy of the intermediate long wave equation (ILW hierarchy). Although the linear inverse scattering problem for the ILW equation itself was well known, here we give an explicit expression for all higher flows and their Hamiltonian structu...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2018 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2018
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/209837 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Simple Lax Description of the ILW Hierarchy / A. Buryak, P. Rossi // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 10 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862725572225925120 |
|---|---|
| author | Buryak, A. Rossi, P. |
| author_facet | Buryak, A. Rossi, P. |
| citation_txt | Simple Lax Description of the ILW Hierarchy / A. Buryak, P. Rossi // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 10 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In this note, we present a simple Lax description of the hierarchy of the intermediate long wave equation (ILW hierarchy). Although the linear inverse scattering problem for the ILW equation itself was well known, here we give an explicit expression for all higher flows and their Hamiltonian structure in terms of a single Lax difference-differential operator.
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| first_indexed | 2025-12-07T18:53:20Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-209837 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T18:53:20Z |
| publishDate | 2018 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Buryak, A. Rossi, P. 2025-11-27T14:46:18Z 2018 Simple Lax Description of the ILW Hierarchy / A. Buryak, P. Rossi // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 10 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 37K10 arXiv: 1809.00271 https://nasplib.isofts.kiev.ua/handle/123456789/209837 https://doi.org/10.3842/SIGMA.2018.120 In this note, we present a simple Lax description of the hierarchy of the intermediate long wave equation (ILW hierarchy). Although the linear inverse scattering problem for the ILW equation itself was well known, here we give an explicit expression for all higher flows and their Hamiltonian structure in terms of a single Lax difference-differential operator. We would like to thank Andrea Brini, Guido Carlet, Oleg Chalykh, Allan Fordy, Alexander Mikhailov, and Vladimir Novikov for useful discussions. The work of the first author (Theorem 1, parts 1 and 3) was supported by the grant no. 16-11-10260 of the Russian Science Foundation. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Simple Lax Description of the ILW Hierarchy Article published earlier |
| spellingShingle | Simple Lax Description of the ILW Hierarchy Buryak, A. Rossi, P. |
| title | Simple Lax Description of the ILW Hierarchy |
| title_full | Simple Lax Description of the ILW Hierarchy |
| title_fullStr | Simple Lax Description of the ILW Hierarchy |
| title_full_unstemmed | Simple Lax Description of the ILW Hierarchy |
| title_short | Simple Lax Description of the ILW Hierarchy |
| title_sort | simple lax description of the ilw hierarchy |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/209837 |
| work_keys_str_mv | AT buryaka simplelaxdescriptionoftheilwhierarchy AT rossip simplelaxdescriptionoftheilwhierarchy |