156 citations · 470 across the 26 of their papers we have counts for
26 papers
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…
Big Bang Nucleosynthesis constraints on gravity
Petros Asimakis, Emmanuel N. Saridakis, Spyros Basilakos +1
We confront gravity, with Big Bang Nucleosynthesis (BBN) requirements. The former is obtained using both the torsion scalar, as well as the teleparallel equivalent of th…
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…
Cosmology in gravity: A unified dynamical system analysis at background and perturbation levels
Wompherdeiki Khyllep, Jibitesh Dutta, Emmanuel N. Saridakis +1
Motivated by the fact that cosmological models based on gravity are very efficient in fitting observational datasets at both background and perturbation levels, we perform a…
The Oscillatory Universe, phantom crossing and the Hubble tension
Mohit K. Sharma, Shibesh Kumar Jas Pacif, Gulmira Yergaliyeva +1
We investigate the validity of cosmological models with an oscillating scale factor in relation to late-time cosmological observations. We show that these models not only meet the…
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…
Observational constraints and dynamical analysis of Kaniadakis horizon-entropy cosmology
A. Hernández-Almada, Genly Leon, Juan Magaña +5
We study the scenario of Kanadiakis horizon entropy cosmology which arises from the application of the gravity-thermodynamics conjecture using the Kaniadakis modified entropy. The…
Kaniadakis holographic dark energy: observational constraints and global dynamics
A. Hernández-Almada, Genly Leon, Juan Magaña +4
We investigate Kaniadakis-holographic dark energy by confronting it with observations. We perform a Markov Chain Monte Carlo analysis using cosmic chronometers, supernovae type Ia,…
Kaniadakis holographic dark energy and cosmology
Niki Drepanou, Andreas Lymperis, Emmanuel N. Saridakis +1
We construct a holographic dark energy scenario based on Kaniadakis entropy, which is a generalization of Boltzmann-Gibbs entropy that arises from relativistic statistical theory a…
Initial conditions of pre-inflation with Hilltop potential in loop quantum cosmology
M. Shahalam, Kuralay Yesmakhanova, Zhanar Umurzakhova
In this paper, we investigate the dynamics of pre-inflation with Hilltop potential in the framework of loop quantum cosmology. The initial conditions of inflaton field at the quant…
Metric-affine Myrzakulov gravity theories with Gauss-Bonnet and boundary term scalars
T. Myrzakul, K. Yesmakhanova, N. Myrzakulov +5
In this paper, we consider some metric-affine Myrzakulov gravity (MG) theories with Gauss-Bonnet scalars. Also we consider the MG theories with the boundary term scalars. Note that…
Zakharov-Ito equation and Generalized Heisenberg ferromagnet-type equation: equivalence and related geometric curve flows
Zhanbala Umbetova, Shynaray Myrzakul, Kuralay Yesmakhanova +3
These results continue our studies of integrable generalized Heisenberg ferromagnet-type equations (GHFE) and their equivalent counterparts. We consider the GHFE which is the spin…
Generalized Heisenberg Ferromagnet type Equation and Modified Camassa-Holm Equation: Geometric Formulation, Soliton Solutions and Equivalence
Zhanar Umurzakhova, Tolkynay Myrzakul, Kuralay Yesmakhanova +3
We study the integrability and equivalence of a generalized Heisenberg ferromagnet-type equation (GHFE). The different forms of this equation as well as its reduction are presented…
Camassa-Holm and M-CIV equations with self-consistent sources: geometry and peakon solutions
Gulmira Yergaliyeva, Tolkynay Myrzakul, Gulgassyl Nugmanova +2
In this paper, we study one of generalized Heisenberg ferromagnet equations with self-consistent sources, namely, the so-called M-CIV equation with self-consistent sources (M-CIVES…
Integrable Deformation of Space Curves, Generalized Heisenberg Ferromagnet Equation and Two-Component Modified Camassa-Holm Equation
Bayan Kutum, Gulgassyl Nugmanova, Tolkynay Myrzakul +2
In this paper, we provide the geometric formulation to the two-component Camassa-Holm equation (2-mCHE). We also study the relation between the 2-mCHE and the M-CV equation. We hav…
Integrable Motion of Curves, Spin Equation and Camassa-Holm Equation
Assem Mussatayeva, Tolkynay Myrzakul, Gulgassyl Nugmanova +2
In the present paper, we investigate some geometrical properties of the Camass-Holm equation (CHE). We establish the geometrical equivalence between the CHE and the M-CIV equation…
Nonlocal Reductions of a Generalized Heisenberg Ferromagnet Equation
R. Myrzakulov, G. Nugmanova, T. Valchev +1
We study nonlocal reductions of coupled equations in dimensions of the Heisenberg ferromagnet type. The equations under consideration are completely integrable and have a Lax…
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…
Coupled Dispersionless and Generalized Heisenberg Ferromagnet Equations with Self-Consistent Sources: Geometry and Equivalence
Guldana Bekova, Gulgassyl Nugmanova, Gaukhar Shaikhova +2
We propose a new integrable coupled dispersionless equation with self-consistent sources (CDESCS). We obtain the Lax pair and the equivalent generalized Heisenberg ferromagnet equa…
Integrable Flows of Curves/Surfaces, Generalized Heisenberg Ferromagnet Equation and Complex Coupled Dispersionless Equation
Guldana Bekova, Kuralay Yesmakhanova, Gaukhar Shaikhova +2
In the present paper, we study the Myrzakulov-XIII (M-XIII) equation geometrically. From the geometric point of view, we establish a link of the M-XIII equation with the motion of…
The (2+1)-dimensional Hirota-Maxwell-Bloch equation: Darboux transformation and soliton solutions
Kuralay Yesmakhanova, Gaukhar Shaikhova, Kuanysh Zhussupbekov +1
The (2+1)-dimensional Hirota-Maxwell-Bloch equation (HMBE) is integrable by the Inverse Scattering Method. In this paper, we construct a Darboux transformation (DT) of the (2+1)-di…
Darboux Transformation and Exact Solutions of the integrable Heisenberg ferromagnetic equation with self-consistent potentials
Z. S. Yersultanova, M. Zhassybayeva, K. Yesmakhanova +2
Integrable Heisenberg ferromagnetic equations are an important subclass of integrable systems. The M-XCIX equation is one of a generalizations of the Heisenberg ferromagnetic equat…
Phase space analysis of interacting dark energy in f(T) cosmology
Mubasher Jamil, Kuralay Yesmakhanova, Davood Momeni +1
In this paper, we examine the interacting dark energy model in cosmology. We assume dark energy as a perfect fluid and choose a specific cosmologically viable form $f(T)= β\…