47 citations · 76 across the 6 of their papers we have counts for
6 papers
Myrzakulov gravity: cosmological implications and constraints
Dinesh Chandra Maurya, K. Yesmakhanova, R. Myrzakulov +1
In this paper, we investigate some exact cosmological models in Myrzakulov gravity or the Myrzakulov gravity-III (MG-III) proposed in [arXiv:1205.5266], with observational…
Geometric Flows of Curves, Two-Component Camassa-Holm Equation and Generalized Heisenberg Ferromagnet Equation
Aigul Taishiyeva, Tolkynay Myrzakul, Gulgassyl Nugmanova +3
In this paper, we study the generalized Heisenberg ferromagnet equation, namely, the M-CVI equation. This equation is integrable. The integrable motion of the space curves induced…
Integrable Motion of Curves in Self-Consistent Potentials : Relation to Spin Systems and Soliton Equations
R. Myrzakulov, G. K. Mamyrbekova, G. N. Nugmanova +2
Motion of curves and surfaces in lead to nonlinear evolution equations which are often integrable. They are also intimately connected to the dynamics of spin chains in the c…
Darboux tranformation and solutions of the (2+1)-dimensional Schrödinger-Maxwell-Bloch equation
G. Shaikhova, K. Yesmakhanova, G. Mamyrbekova +1
In this paper, we construct a Darboux transformation (DT) of the (2+1)-dimensional Schrödinger-Maxwell-Bloch equation (SMBE) which is integrable by the Inverse Scattering Method. U…
Integrable Heisenberg Ferromagnet Equations with self-consistent potentials
Zh. Kh. Zhunussova, K. R. Yesmakhanova, D. I. Tungushbaeva +3
In this paper, we consider some integrable Heisenberg Ferromagnet Equations with self-consistent potentials. We study their Lax representations. In particular we give their equival…
Some Models of Cyclic and Knot Universes
K. R. Yesmakhanova, N. A. Myrzakulov, K. K. Yerzhanov +3
In this paper, we obtained a class of oscillatory, cyclic and knot type solutions from the non-linear Friedmann equations. This is performed by choosing specific forms of energy de…