Bright and singular optical soliton solutions of modified nonlinear Schrödinger equation with conformable fractional derivative in deep water waves

In this article, optical soliton solutions from the modified nonlinear Schrödinger equation with conformable fractional derivative have been obtaibed by applying the Kudryashov R function method. This method has the advantage of not requiring the use of a specific function form in computations. This method is highly influential and reliable for discovering hyperbolic function solutions to nonlinear equations. This approach yields efficient, straightforward and simple algorithm for obtaining solitary wave solutions. By applying this approach, bell-shaped bright and singular soliton solutions have been retrieved from the governing equation. On the basis of the outcomes, it can be stated that the employed method may be useful for solving highly nonlinear problems in various fields. The dynamic properties of some bell-shaped bright and singular solitons of the governing equation have been shown in 3D, 2D and contour graphs by giving the particular values for the relevant parameters.