Dispersionless limit of the (1+1)-dimensional Fokas-Lenells equation

dc.contributor.author	Zhassybayeva, Meruyert
dc.contributor.author	Yesmakhanova, Kuralay
dc.contributor.author	Myrzakulov, Ratbay
dc.date.accessioned	2025-01-20T04:05:00Z
dc.date.available	2025-01-20T04:05:00Z
dc.date.issued	2019
dc.identifier.issn	1742-6596
dc.identifier.other	doi:10.1088/1742-6596/1391/1/012103
dc.identifier.uri	http://rep.enu.kz/handle/enu/20859
dc.description.abstract	Nonlinear dispersionless equations can be obtained as dispersionless limits (quasiclassical limits) of integrable hierarchies of equations or by constructing a system of hydrodynamic type. In this paper, the dispersionless limit of the (1+1)-dimensional FokasLenells equation is found. We present Lax pair for this dispersionless equation. As well known, the Fokas-Lenells equation characterizes the propagation of ultrashort nonlinear light pulses in optical fibers. Exact solutions of the dispersionless version of the Fokas-Lenells equation describe nonlinear shock waves in optical fiber systems. By using the obtained results, one can find shock wave solutions of the dispersionless equation, which have different physical applications.	ru
dc.language.iso	en	ru
dc.publisher	Journal of Physics: Conference Series	ru
dc.relation.ispartofseries	1391 (2019) 012103;
dc.title	Dispersionless limit of the (1+1)-dimensional Fokas-Lenells equation	ru
dc.type	Article	ru