73 citations · 153 across the 20 of their papers we have counts for
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Integrable generalized Heisenberg ferromagnet equations with self-consistent potentials and related Yajima-Oikawa type equations
Zhaidary Myrzakulova, Gulgassyl Nugmanova, Kuralay Yesmakhanova +2
We consider some nonlinear models describing interactions of long and short (LS) waves. Such LS models have been derived and proposed with various motivations, which mainly come fr…
Integrable Kuralay equations: geometry, solutions and generalizations
Z. Sagidullayeva, G. Nugmanova, R. Myrzakulov +1
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 equ…
Integrable Zhaidary equations: reductions and gauge equivalence
Zh. Sagidullayeva, K. Yesmakhanova, R. Myrzakulov +5
The present work addresses the study and characterization of the integrability of some generalized spin systems (ISS) in 1+1 dimensions. Lax representations for these ISS are succe…
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…