Hierarchies of Manakov-Santini Type by Means of Rota-Baxter and Other Identities
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Hierarchies of Manakov-Santini Type by Means of Rota-Baxter and Other Identities
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| Creator |
Szablikowski, B.M.
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| 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.
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| Date |
2019-02-14T18:09:26Z
2019-02-14T18:09:26Z 2016 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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