Abstract
The nonlinear Schrödinger equation (NLSE) describes various types of physical systems such as water waves, nonlinear optics, plasma Physics. In optics, NLSE describes a wide range of non-linearity effects in fiber optics. The solution to the above equation might be examined in order to investigate these consequences. Differential configurational entropy (DCE) is used to analyze the dark similariton solution in this specific situation of NLSE with bright and dark similariton solutions. DCE provides us with the measure of information required to examine stability for various physical systems and to characterize a systems spatial profile using the Fourier transform. It is show that even for the same solitonic solution of the NLS equation, the variations in the spatial shape is induced by different choices of the relevant parameter α. The global minima of the DCE correspond to the saturation of the breadth of dark solitons. While dark similariton waves propagate through waveguides, such low entropic values result in minimum dispersion of momentum modes, and this should be taken into consideration while designing the waveguides.