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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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| Language: | English |
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Інститут математики НАН України
2009
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/149261 |
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irk-123456789-1492612019-02-20T01:28:04Z Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System Dimakis, A. Müller-Hoissen, F. 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. 2009 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/149261 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Dimakis, A. Müller-Hoissen, F. |
| spellingShingle |
Dimakis, A. Müller-Hoissen, F. Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Dimakis, A. Müller-Hoissen, F. |
| author_sort |
Dimakis, A. |
| title |
Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System |
| 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 |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT dimakisa multicomponentburgersandkphierarchiesandsolutionsfromamatrixlinearsystem AT mullerhoissenf multicomponentburgersandkphierarchiesandsolutionsfromamatrixlinearsystem |
| first_indexed |
2023-05-20T17:32:35Z |
| last_indexed |
2023-05-20T17:32:35Z |
| _version_ |
1796153532455321600 |