Optical solutions to the truncated M-fractional Schrödinger-KdV equation via an analytical method

In this paper, we will use the exp(-phi(eta))-expansion method to obtain the solitonicwave solution in the sense of the truncated M-fractional Schr & ouml;dinger-KdV equation.The provided equation is converted into an ordinary differential equation using theappropriate wave transformation. Standard waveform shapes are determined, such ashyperbolic, exponential, dark, bright, rational, plane, and combo bright-dark soliton.We create 2D, density, and contour graphs of the solutions using consistent parametricvalues to examine the physical characteristics of the constructed solitons. Using Wol-fram Mathematica, the newly created solutions are verified by inserting them back intothe model under consideration. The suggested method and results can also be used toanalyze high-order fractional models found in fields such as optics, hydrodynamics,plasma, wave theory, and others