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nlin.SI2020★ 1 cited
Zakharov-Ito equation and Generalized Heisenberg ferromagnet-type equation: equivalence and related geometric curve flows
Zhanbala Umbetova, Shynaray Myrzakul, Kuralay Yesmakhanova +3
These results continue our studies of integrable generalized Heisenberg ferromagnet-type equations (GHFE) and their equivalent counterparts. We consider the GHFE which is the spin…
nlin.SI2020
Generalized Heisenberg Ferromagnet type Equation and Modified Camassa-Holm Equation: Geometric Formulation, Soliton Solutions and Equivalence
Zhanar Umurzakhova, Tolkynay Myrzakul, Kuralay Yesmakhanova +3
We study the integrability and equivalence of a generalized Heisenberg ferromagnet-type equation (GHFE). The different forms of this equation as well as its reduction are presented…