73 citations · 210 across the 8 of their papers we have counts for
8 papers
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…
FRW and Bianchi type I cosmology of f-essence
Mubasher Jamil, D. Momeni, N. S. Serikbayev +1
F-essence is a generalization of the usual Dirac model with the nonstandard kinetic term. In this paper, we introduce a new model of spinor cosmology containing both Ricci scalar a…
Some cosmological aspects of Horava-Lifshitz gravity: integrable and nonintegrable models
G. N. Nugmanova, Sh. R. Myrzakul, O. V. Razina +3
In this work, some new integrable and nonintegrable cosmological models of the Hoava-Lifshitz gravity are proposed. For some of them, exact solutions are presented. Then…
G-essence cosmologies with scalar-fermion interactions
O. V. Razina, Y. M. Myrzakulov, N. S. Serikbayev +3
We study the two particular models of g-essence with Yukawa type interactions between a scalar field and a classical Dirac field . For the homogeneous, isotropic and flat Fr…
Einstein-Cartan gravity with scalar-fermion interactions
Olga Razina, Yerlan Myrzakulov, Nurzhan Serikbayev +2
In this paper, we have considered the g-essence and its particular cases, k-essence and f-essence, within the framework of the Einstein-Cartan theory. We have shown that a single f…
Topology change in quantum gravity and Ricci flows
V. Dzhunushaliev, N. Serikbayev, R. Myrzakulov
The topology change in quantum gravity is modeled by a Ricci flow. In this approach we offer to consider the Ricci flow as a statistical system. The metric in the Ricci flow enumer…