Integrable motions of curves of the induced Fokas–Lenells equation
Zhassybayeva M. Bekova G. Yesmakhanova K. Myrzakulov R.
September 2023Elsevier GmbH
Optik
2023#286
In this paper, we study a spin system gauge equivalent to the integrable Fokas–Lenells equation, the so-called Myrzakulov-LXXII equation. Moreover, the (2+1)-dimensional Myrzakulov-LXXII equation is obtained and a new Lax representation for it is constructed. A connection between the differential geometry of the curves and the spin system under study is established. Also, a one-soliton solution of the Myrzakulov-LXXII equation is found.
Fokas–Lenells equation , Geometric equivalence , M-LXXII equation , Soliton solution , Spin system
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Department of General and Theoretical Physics, L.N. Gumilyov Eurasian National University, Astana, 010000, Kazakhstan
Department of Physics and Technical Disciplines, Kh.Dosmukhamedov Atyrau University, Atyrau, 060000, Kazakhstan
Department of Higher Mathematics, L.N. Gumilyov Eurasian National University, Astana, 010000, Kazakhstan
Department of General and Theoretical Physics
Department of Physics and Technical Disciplines
Department of Higher Mathematics
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