Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System
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| Creator |
Dimakis, A.
Müller-Hoissen, F. |
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| 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.
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| Date |
2019-02-19T19:29:49Z
2019-02-19T19:29:49Z 2009 |
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| Type |
Article
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| Identifier |
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 |
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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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