Exploring solitons in optical twin-core couplers with Kerr law of nonlinear refractive index using the modified extended direct algebraic method

Abstract

This article studies high dispersion solitons in optical couplers that are composed of metamaterials using the modified extended direct algebraic method (MEDAM). Different dynamic behaviors of unique soliton waves that include singular and combo-soliton solutions are raised using the MEDAM. The solutions that are produced include singular periodic solutions, bright and dark soliton solutions, Jacobi elliptic functions, and singular soliton solutions. Furthermore, the physical depiction of the found solutions is given through contour graphs, 2D, and 3D graphics. The main objective of this paper is to incorporate meta-materials into a governing model for highly dispersive solitons in optical couplers. The modified extended direct algebraic technique, reveals several solitons, where the uniqueness is found. Moreover, by the end of this work, we present 2D, 3D, and contour charts of the various obtained solutions to further highlight our findings.