Skyrmions are the smallest realizable magnetic textures, and they could be considered an ideal element for ultra-dense magnetic memories. Skyrmions can be stabilized by the Dzyaloshinskii-Moriya interaction. In the first part of this study, the modified Landau-Lifshitz-Gilbert formalism was carried out to understand the dependence between the physical parameters and the stability and the motion of skyrmions. The width of the nanowire, the magnetic anisotropy (Ku), the Dzyaloshinskii-Moriya interaction (DMI), the exchange coupling (Aex), the saturation magnetization (Ms), and the Gilbert damping coefficient (α) were varied, and the magnetization dynamics were evaluated. It was found that all the parameters mentioned can affect the speed and dimension of the skyrmion. The calculation was conducted using a nanosecond pulsed current. In summary, a phase diagram combining several parameters was established, which could define the optimal conditions for small size skyrmions and high velocity.