A variety of optical soliton solutions for the M-truncated Paraxial wave equation using Sardar-subequation technique

To generate different optical soliton solutions of the Paraxial wave equation with fractional time dependence, a well-known Sardar-subequation technique is used. The M-truncated fractional derivative is used to get rid of the fractional order in the governing model equation. The sorts of wave solutions acquired have important applications in engineering and material science. Some particular values of the parameters have been selected in order to produce creative solitary wave solutions. The obtained wave solutions are displayed graphically using Maple.