Integrable Kuralay Equations: Geometry, Solutions and Generalizations

Sagidullayeva, Zhanna; Nugmanova, Gulgassyl; Myrzakulov, Ratbay; Serikbayev, Nurzhan

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dc.contributor.author	Sagidullayeva, Zhanna
dc.contributor.author	Nugmanova, Gulgassyl
dc.contributor.author	Myrzakulov, Ratbay
dc.contributor.author	Serikbayev, Nurzhan
dc.date.accessioned	2024-09-20T05:39:00Z
dc.date.available	2024-09-20T05:39:00Z
dc.date.issued	2022
dc.identifier.citation	Sagidullayeva, Z.; Nugmanova, G.; Myrzakulov, R.; Serikbayev, N. Integrable Kuralay Equations: Geometry, Solutions and Generalizations. Symmetry 2022, 14, 1374. https://doi.org/10.3390/ sym14071374	ru
dc.identifier.issn	2073-8994
dc.identifier.other	doi.org/10.3390/sym14071374
dc.identifier.uri	http://rep.enu.kz/handle/enu/16722
dc.description.abstract	In this paper, we study the Kuralay equations, namely the Kuralay-I equation (K-IE) and the Kuralay-II equation (K-IIE). The integrable motion of space curves induced by these equations is investigated. The gauge equivalence between these two equations is established. With the help of the Hirota bilinear method, the simplest soliton solutions are also presented. The nonlocal and dispersionless versions of the Kuralay equations are considered. Some integrable generalizations and other related nonlinear differential equations are presented.	ru
dc.language.iso	en	ru
dc.publisher	Symmetry	ru
dc.relation.ispartofseries	Volume 14 Issue 7;
dc.subject	geometry	ru
dc.subject	soliton solution	ru
dc.subject	integrable generalizations	ru
dc.subject	gauge equivalence	ru
dc.subject	nonlocal and dispersionless equations	ru
dc.title	Integrable Kuralay Equations: Geometry, Solutions and Generalizations	ru
dc.type	Article	ru