Multi-Component Integrable Systems and Invariant Curve Flows in Certain Geometries
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Multi-Component Integrable Systems and Invariant Curve Flows in Certain Geometries
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| Creator |
Qu, C.
Song, J. Yao, R. |
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| Description |
In this paper, multi-component generalizations to the Camassa-Holm equation, the modified Camassa-Holm equation with cubic nonlinearity are introduced. Geometric formulations to the dual version of the Schrödinger equation, the complex Camassa-Holm equation and the multi-component modified Camassa-Holm equation are provided. It is shown that these equations arise from non-streching invariant curve flows respectively in the three-dimensional Euclidean geometry, the two-dimensional Möbius sphere and n-dimensional sphere Sn(1). Integrability to these systems is also studied.
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| Date |
2019-02-19T18:35:09Z
2019-02-19T18:35:09Z 2013 |
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| Type |
Article
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| Identifier |
Multi-Component Integrable Systems and Invariant Curve Flows in Certain Geometries / C. Qu, J. Song, R. Yao // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 60 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 37K10; 51M05; 51B10 DOI: http://dx.doi.org/10.3842/SIGMA.2013.001 http://dspace.nbuv.gov.ua/handle/123456789/149204 |
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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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