The propagation of a femtosecond laser pulse as a filament in a medium is subject to complex linear and nonlinear effects and it is significant to study the filamentation characteristics of femtosecond lasers in a medium.Since the beam propagation is highly sensitive to the shape and wavelength of the input beam,the distribution of energy and intensity in the medium can be controlled by modifying both the shape and wavelength of the beam.In this paper,we investigate the propagation characteristics of super-Gaussian and wrapped beams at varying wavelengths and shapes,based on the nonlinear Schrdinger equation.Our results show that super-Gaussian beams can facilitate faster beam focusing and induce changes in the intensity and plasma density values in the medium.Furthermore,we find that using wrapped beams composed of super-Gaussian beams and surrounding annular beams,which form an “energy reservoir”,is more favorable for promoting and sustaining beam propagation.Moreover,we observe that decreasing the wavelength of the beam leads to higher confinement intensity and faster beam focusing with better intensity preservation.