In this paper, we study an integrable system with the self-consistent potentials called the Nurshuak-Tolkynay-Myrzakulov (NTM) system. This system is of great importance in the theory of integrable nonlinear equations, since this system describes the dynamics of nonlinear wave processes in various fields of physics, such as hydrodynamics, optics, quantum mechanics, and plasma ...

The quest to understand the nature of gravity and its role in shaping the universe has led to the exploration of modified gravity theories. One of the pioneering contributions in this field is the Myrzakulov gravity theory, which incorporates both curvature and torsion. In this work, we investigate the effects of torsion within the framework of f(R,T)-gravity, a modification of ...

This review provides a comprehensive overview of Myrzakulov gravity, emphasizing key developments and significant results that have shaped the theory’s current understanding. The paper explores the foundational principles of this modified gravity framework, delving into the intricate structure of field equations, the incorporation of non-metricity, and the role of torsion in ...

This review provides a comprehensive overview of Myrzakulov gravity, emphasizing key developments and significant results that have shaped the theory’s current understanding. The paper explores the foundational principles of this modified gravity framework, delving into the intricate structure of field equations, the incorporation of non-metricity, and the role of torsion in ...

We present a unified treatment of cosmic inflation within the framework of Myrzakulov Gravity, exploring its realization in three different formalisms: metric (curvature-based), teleparallel (torsion-based), and symmetric teleparallel (non-metricity-based). For each case, we derive the corresponding field equations in a flat FLRW background, study inflationary solutions driven ...

The study of modified gravity models has garnered significant attention because of their potential to provide alternative explanations for cosmological phenomena, such as the accelerated expansion of the universe and the nature of dark energy. One such model, the Einstein–Gauss–Bonnet–Myrzakulov gravity (EGBMG), which incorporates the curvature R, torsion T, and the Gauss-Bonnet ...