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Hierarchies of Manakov-Santini Type by Means of Rota-Baxter and Other Identities
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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| dc.contributor.author | Szablikowski, B.M. | |
| dc.date.accessioned | 2019-02-14T18:09:26Z | |
| dc.date.available | 2019-02-14T18:09:26Z | |
| dc.date.issued | 2016 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 37K10; 37K30 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2016.022 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/147416 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | The very preliminary results related to this work were obtained in 2010 during the visit of the author to Institute of Mathematics in Academia Sinica in Taipei. The author wishes to express his thanks to Professor Jen-Hsu Chang for valuable discussions and Professor Jyh-Hao Lee for warm hospitality. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Hierarchies of Manakov-Santini Type by Means of Rota-Baxter and Other Identities | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
