Hierarchies of Manakov-Santini Type by Means of Rota-Baxter and Other Identities
The Lax-Sato approach to the hierarchies of Manakov-Santini type is formalized in order to extend it to a more general class of integrable systems. For this purpose some linear operators are introduced, which must satisfy some integrability conditions, one of them is the Rota-Baxter identity. The th...
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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2016 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2016
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147416 |
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| Цитувати: | Hierarchies of Manakov-Santini Type by Means of Rota-Baxter and Other Identities / B.M Szablikowski // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 34 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1474162019-02-15T01:25:43Z Hierarchies of Manakov-Santini Type by Means of Rota-Baxter and Other Identities Szablikowski, B.M. The Lax-Sato approach to the hierarchies of Manakov-Santini type is formalized in order to extend it to a more general class of integrable systems. For this purpose some linear operators are introduced, which must satisfy some integrability conditions, one of them is the Rota-Baxter identity. The theory is illustrated by means of the algebra of Laurent series, the related hierarchies are classified and examples, also new, of Manakov-Santini type systems are constructed, including those that are related to the dispersionless modified Kadomtsev-Petviashvili equation and so called dispersionless r-th systems. 2016 Article Hierarchies of Manakov-Santini Type by Means of Rota-Baxter and Other Identities / B.M Szablikowski // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 34 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 37K10; 37K30 DOI:10.3842/SIGMA.2016.022 http://dspace.nbuv.gov.ua/handle/123456789/147416 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 |
The Lax-Sato approach to the hierarchies of Manakov-Santini type is formalized in order to extend it to a more general class of integrable systems. For this purpose some linear operators are introduced, which must satisfy some integrability conditions, one of them is the Rota-Baxter identity. The theory is illustrated by means of the algebra of Laurent series, the related hierarchies are classified and examples, also new, of Manakov-Santini type systems are constructed, including those that are related to the dispersionless modified Kadomtsev-Petviashvili equation and so called dispersionless r-th systems. |
| format |
Article |
| author |
Szablikowski, B.M. |
| spellingShingle |
Szablikowski, B.M. Hierarchies of Manakov-Santini Type by Means of Rota-Baxter and Other Identities Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Szablikowski, B.M. |
| author_sort |
Szablikowski, B.M. |
| title |
Hierarchies of Manakov-Santini Type by Means of Rota-Baxter and Other Identities |
| title_short |
Hierarchies of Manakov-Santini Type by Means of Rota-Baxter and Other Identities |
| title_full |
Hierarchies of Manakov-Santini Type by Means of Rota-Baxter and Other Identities |
| title_fullStr |
Hierarchies of Manakov-Santini Type by Means of Rota-Baxter and Other Identities |
| title_full_unstemmed |
Hierarchies of Manakov-Santini Type by Means of Rota-Baxter and Other Identities |
| title_sort |
hierarchies of manakov-santini type by means of rota-baxter and other identities |
| publisher |
Інститут математики НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147416 |
| citation_txt |
Hierarchies of Manakov-Santini Type by Means of Rota-Baxter and Other Identities / B.M Szablikowski // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 34 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT szablikowskibm hierarchiesofmanakovsantinitypebymeansofrotabaxterandotheridentities |
| first_indexed |
2023-05-20T17:27:48Z |
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2023-05-20T17:27:48Z |
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1796153349573181440 |