On Transformations of the Rabelo Equations

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dc.contributor.authorSakovich, A.
dc.contributor.authorSakovich, S.
dc.date.accessioned2019-02-13T19:30:06Z
dc.date.available2019-02-13T19:30:06Z
dc.date.issued2007
dc.description.abstractWe study four distinct second-order nonlinear equations of Rabelo which describe pseudospherical surfaces. By transforming these equations to the constant-characteristic form we relate them to some well-studied integrable equations. Two of the Rabelo equations are found to be related to the sine-Gordon equation. The other two are transformed into a linear equation and the Liouville equation, and in this way their general solutions are obtained.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine). The authors are grateful to Professors N.H. Ibragimov, A.V. Mikhailov and P.J. Olver for their comments on equation (33), and to the anonymous referee who suggested reference [5]. A.S. is grateful to the Organizing Committee of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv) and ICTP Of fice of External Activities for travel and local support in participating the conference. The work of S.S. was supported in part by the Belarusian Republican Foundation for Fundamental Research.uk_UA
dc.identifier.citationOn Transformations of the Rabelo Equations / A. Sakovich, S. Sakovich // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 14 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 35Q58; 35Q53; 35C05
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147226
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleOn Transformations of the Rabelo Equationsuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3, випуск за цей рік