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

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dc.contributor.authorQu, C.
dc.contributor.authorSong, J.
dc.contributor.authorYao, R.
dc.date.accessioned2019-02-19T18:35:09Z
dc.date.available2019-02-19T18:35:09Z
dc.date.issued2013
dc.description.abstractIn 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.sponsorshipThis 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.identifier.citationMulti-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.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 37K10; 51M05; 51B10
dc.identifier.otherDOI: http://dx.doi.org/10.3842/SIGMA.2013.001
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/149204
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleMulti-Component Integrable Systems and Invariant Curve Flows in Certain Geometriesuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік