Integrable Kuralay Equations: Geometry, Solutions and Generalizations
Sagidullayeva Z. Nugmanova G. Myrzakulov R. Serikbayev N.
July 2022MDPI
Symmetry
2022#14Issue 7
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.
gauge equivalence , geometry , integrable generalizations , nonlocal and dispersionless equations , soliton solution
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Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Nur-Sultan, 010009, Kazakhstan
Department of General and Theoretical Physics, Department of Mathematical and Computer Modeling, Eurasian National University, Nur-Sultan, 010008, Kazakhstan
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics
Department of General and Theoretical Physics
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