In this paper, the main motive is to mathematical explore the Kuralay equation, which find
applications in various fields such as ferromagnetic materials, nonlinear optics, and optical …

This paper studies the integrable Kuralay equation which is a kind of integrable spin system
in (1+ 1) dimensions. Several new exact solutions of different kinds such as optical solitons …

This study employs the new extended direct algebraic method and improved sardar sub-
equation method to investigate solitary wave solutions in the Shynaray-IIA equation, which …

This paper investigates the Shynaray-IIA equation (S-IIAE), a type of partial differential
parametric equation, using the Φ 6-model expansion method. The Shynaray-IIA equation is …

The Akbota equation, as a Heisenberg ferromagnet-type equation, is of great value for the
study of the curve and surface geometry. Based on the J-fold Darboux transformation, some …

This article concerns new analytical wave solutions of the Kuralay-II equations (K-IIAE and K-
IIBE) with exploration of a new definition of the derivative. This model is used in various …

The truncated M-fractional Kuralay (TMFK)-II equation is prevalent in the exploration of
specific complex nonlinear wave phenomena. Such types of wave phenomena are more …

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 …

This study addresses the integrable Akbota equation which is a Heisenberg ferromagnet-
type equation and has a significant study of the curve and surface geometry. The …

The aim of this paper is to investigate the integrable motion of induced curves using the
Kuralay equation, which is a complex integrable coupled system. The soliton solutions …