Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System
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...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2009 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149261 |
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| Zitieren: | 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. |
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Dimakis, A. Müller-Hoissen, F. 2019-02-19T19:29:49Z 2019-02-19T19:29:49Z 2009 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. 1815-0659 2000 Mathematics Subject Classification: 37K10; 35Q53 https://nasplib.isofts.kiev.ua/handle/123456789/149261 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. 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). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System |
| spellingShingle |
Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System Dimakis, A. Müller-Hoissen, F. |
| title_short |
Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System |
| title_full |
Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System |
| title_fullStr |
Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System |
| title_full_unstemmed |
Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System |
| title_sort |
multicomponent burgers and kp hierarchies, and solutions from a matrix linear system |
| author |
Dimakis, A. Müller-Hoissen, F. |
| author_facet |
Dimakis, A. Müller-Hoissen, F. |
| publishDate |
2009 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/149261 |
| citation_txt |
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. |
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AT dimakisa multicomponentburgersandkphierarchiesandsolutionsfromamatrixlinearsystem AT mullerhoissenf multicomponentburgersandkphierarchiesandsolutionsfromamatrixlinearsystem |
| first_indexed |
2025-12-07T18:08:02Z |
| last_indexed |
2025-12-07T18:08:02Z |
| _version_ |
1850873880551358464 |