activity
20062024
most citedIntegrable Kuralay equations: geometry, solutions and generalizations

73 citations · 153 across the 20 of their papers we have counts for

collaborators

20 papers

gr-qc2024★ 13 cited

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…

gr-qc2024★ 16 cited

FLRW Cosmology in Metric-Affine Gravity

Dinesh Chandra Maurya, K. Yesmakhanova, R. Myrzakulov +1

We investigate some FLRW cosmological models in the context of Metric-Affine gravity, as proposed in [arXiv:1205.52666]. Here, and are the curvature and nonmetrici…

nlin.SI2023★ 9 cited

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…

nlin.SI2022★ 3 cited

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…

nlin.SI2022★ 73 cited

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…

nlin.SI2022★ 1 cited

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…