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. The solitons arising from the integrable Kuralay equations are
considered by tall superiority and qualitative studies formany effective phenomena in various fields such as ferromagnetic materials,
nonlinear optics and optical fibers. There are two various schemes are suggested to establish these diverse types of solitons that
arise from this model, namely the extended simple equation method and the Paul-Painleve approach method. New diverse types of
the soliton solutions that appear in forms of periodic trigonometric function soliton solutions, parabolic function soliton solutions,
singular soliton solutions, W-like soliton solutions and M-like soliton solutions have been documented. The suggested techniques
are used for the first time for this target. The achieved soliton solutions will offer a rich podium to study the nonlinear spin dynamics
in magnetic materials. Moreover, we will construct the numerical solutions for all achieved soliton solutions by using the differential
transform methods. The comparison between the new achieved soliton solutions with its consistent numerical solutions has been
documented. |
