Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System
Репозиторій DSpace/Manakin
- Домашня сторінка
- →
- Фізико-технічні та математичні науки
- →
- Відділення математики
- →
- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік
- →
- Переглянути статтю
JavaScript is disabled for your browser. Some features of this site may not work without it.
| dc.contributor.author | Dimakis, A. | |
| dc.contributor.author | Müller-Hoissen, F. | |
| dc.date.accessioned | 2019-02-19T19:29:49Z | |
| dc.date.available | 2019-02-19T19:29:49Z | |
| dc.date.issued | 2009 | |
| dc.identifier.citation | Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System / A. Dimakis, F. Müller-Hoissen // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 52 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2000 Mathematics Subject Classification: 37K10; 35Q53 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/149261 | |
| dc.description.abstract | Via a Cole-Hopf transformation, the multicomponent linear heat hierarchy leads to a multicomponent Burgers hierarchy. We show in particular that any solution of the latter also solves a corresponding multicomponent (potential) KP hierarchy. A generalization of the Cole-Hopf transformation leads to a more general relation between the multicomponent linear heat hierarchy and the multicomponent KP hierarchy. From this results a construction of exact solutions of the latter via a matrix linear system. | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Proceedings of the XVIIth International Colloquium on Integrable Systems and Quantum Symmetries (June 19–22, 2008, Prague, Czech Republic). | 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 | Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
