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 …

In this research work, we explored novel soliton solutions to the complex nonlinear Kuralay-
II (K-IIA) equation on the bases of computational simulation. This complex nonlinear …

In this paper, the dynamical system bifurcation theory approach are employed to investigate
the phase diagrams of the magnet-optic wave guides in Kuralay. With the use of the …

The paper aims to establish diverse soliton solutions for the integrable Kuralay equations
and to explore the integrable motion of space curves induced by these equations. The …

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 …

This study focuses on mathematically exploring the Kuralay equation, which is applicable in
diverse fields, such as nonlinear optics, optical fibers, and ferromagnetic materials. This …

This article explores the Kuralay-IIA equation, which is important as it provides a
mathematical framework for modelling complex nonlinear phenomena in various physical …

The paper aims to establish diverse types of the soliton solutions for the integrable Kuralay
equations to discuss the integrable motion of the induced space curves by these equations …

In this paper, we study some integrable spin systems in 2+ 1, 1+ 1 and 1+ 0 dimensions. In
particular, the gauge equivalence between the (2+ 1)-dimensional Zakharov equation and …

This article demonstrates the integrability of the (1+ 1)-dimensional Kairat-X (KX) equation
through lax pairs, and Bäcklund transformation. This nonlinear evolution equation is used in …