A modified Jacobi elliptic functions method for optical soliton solutions of a conformable nonlinear Schr¨odinger equation

Abstract

In this paper, we study precise and exact traveling wave solutions of the conformable differential nonlinear Schr¨odinger equation. Then, we transform the given equation into an integer order differential equation by utilizing the wave transformation and the characteristics of the conformable derivative. To extract optical soliton solutions, we divide the wave profile into amplitude and phase components. Further, we introduce a new extension of a modified Jacobi elliptic functions method to the conformable differential nonlinear Schr¨odinger equation with group velocity dispersion and coefficients of second-order spatiotemporal dispersion.