Innovative optical solitons and other exact wave solutions for coupled system of new nonlocal LPDE using improved modified extended tanh technique

Abstract

The coupled system of the new nonlocal Lakshmanan–Porsezian–Daniel equation is studied in this manuscript. The pulse propagation in an optical cable is depicted using this model. The improved modified extended tanh method is utilized in this work. Numerous solutions, including dark soliton, rational, periodic, singular periodic, hyperbolic, exponential, and Jacobi elliptic solutions, are offered by this method. We illustrate our discovered wave solutions’ uniqueness and significant addition to current research by contrasting them with the body of existing literature. Some of the retrieved solutions are displayed graphically using contour plots, 2D and 3D models. In addition, a comparison of 2D graphs for a few chosen coupled wave solutions is shown.