Multi-Component Integrable Systems and Invariant Curve Flows in Certain Geometries

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9
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Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік
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dc.contributor.author	Qu, C.
dc.contributor.author	Song, J.
dc.contributor.author	Yao, R.
dc.date.accessioned	2019-02-19T18:35:09Z
dc.date.available	2019-02-19T18:35:09Z
dc.date.issued	2013
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 37K10; 51M05; 51B10
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2013.001
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149204
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue “Symmetries of Dif ferential Equations: Frames, Invariants and Applications”. The full collection is available at http://www.emis.de/journals/SIGMA/SDE2012.html. The authors would like to thank the anonymous referees for constructive suggestions and comments. This work was supported by the China NSF for Distinguished Young Scholars under Grant 10925104 and the China NSF under Grants 11071278 and 60970054.	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	Multi-Component Integrable Systems and Invariant Curve Flows in Certain Geometries	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA