Propagation of chirped periodic and solitary waves for the coupled nonlinear Schrodinger equation in two core optical fibers with parabolic law with weak non-local nonlinearity

In this paper, we will study the propagation properties of nonlinear periodic waves (PW) in a fiber optics for the coupled nonlinear Schrodinger equation with parabolic law with weak non-local nonlinearity (CNLSE-PLWNLNL). We will find the chirped periodic waves (CPW) by using some Jacobi elliptic functions (JEF) and also obtain some solitary waves (SW) like dark, bright, hyperbolic, singular, periodic and other solitons. The resultant chirp associated with each of these optical solitons (OS) will be observed dependent on pulse intensity. The graphical representation of these waves will also be presented.

Automated summary

In this paper, we investigate the propagation properties of nonlinear periodic waves in fiber optics, considering the coupled nonlinear Schrodinger equation with parabolic law and weak non-local nonlinearity. We discover chirped periodic waves using Jacobi elliptic functions and identify various types of solitary waves, including dark, bright, hyperbolic, singular, periodic, and other solitons. The chirp associated with each optical soliton is found to depend on the intensity of the pulse. Graphical representations of these waves are also provided.