Abstract
The objective of the presented piece of work is to explore new forms of soliton solutions of higher order non linear Schrodinger's equation with fourth-order dispersion and cubic quintic nonlinearity. With the help of Unified method, the exact solutions of the governing model have been achieved in the form of polynomial and rational functions. To numerically verify the obtained solutions, the Residual Power Series Method has been employed. Further, the validity of non-singular solutions has guaranteed by a limitation condition that is graphically illustrated in 3D. The 2D graphical representation are also used to demonstrate the influence of parameters on the predicted non-singular solutions. Comparison between exact and numerical approximations has been illustrated graphically.