9 citations · 16 across the 6 of their papers we have counts for
7 papers
Integrability, geometry and wave solutions of some Kairat equations
Zh. Myrzakulova, S. Manukure, R. Myrzakulov +1
In this paper, we study some Kairat equations. The relation between the motion of curves and Kairat equations is established. The geometrical equivalence between the Kairat-I equat…
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 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…
Dispersionless Limits of Integrable Generalized Heisenberg Ferromagnet Equations
Zhaidary Myrzakulova, Gulgassyl Nugmanova, Kuralay Yesmakhanova +1
This paper is a continuation of our previous work in which we studied a dispersionless limits of some integrable spin systems (magnetic equations). Now, we shall present dispersion…
Dispersionless Limits of Some Integrable Equations
Zhaidary Myrzakulova, Ratbay Myrzakulov
This is a write-up of the lectures on dispersionless equations in 1+1, 2+1 and 3+1 dimensions presented by one of us (RM) at "Eurasian International Center for Theoretical Physics"…