56 citations · 64 across the 7 of their papers we have counts for
10 papers
Integrable motion of anisotropic space curves and surfaces induced by the Landau-Lifshitz equation
Zh. Myrzakulova, G. Nugmanova, K. Yesmakhanova +1
In this paper, we have studied the geometrical formulation of the Landau-Lifshitz equation (LLE) and established its geometrical equivalent counterpart as some generalized nonlinea…
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…
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…
Camassa-Holm and M-CIV equations with self-consistent sources: geometry and peakon solutions
Gulmira Yergaliyeva, Tolkynay Myrzakul, Gulgassyl Nugmanova +2
In this paper, we study one of generalized Heisenberg ferromagnet equations with self-consistent sources, namely, the so-called M-CIV equation with self-consistent sources (M-CIVES…
Integrable Deformation of Space Curves, Generalized Heisenberg Ferromagnet Equation and Two-Component Modified Camassa-Holm Equation
Bayan Kutum, Gulgassyl Nugmanova, Tolkynay Myrzakul +2
In this paper, we provide the geometric formulation to the two-component Camassa-Holm equation (2-mCHE). We also study the relation between the 2-mCHE and the M-CV equation. We hav…
Integrable Motion of Curves, Spin Equation and Camassa-Holm Equation
Assem Mussatayeva, Tolkynay Myrzakul, Gulgassyl Nugmanova +2
In the present paper, we investigate some geometrical properties of the Camass-Holm equation (CHE). We establish the geometrical equivalence between the CHE and the M-CIV equation…