This work investigates the propagation of optical solitons in coupled Higgs equation which shows a system of neutral scalar mesons working with preserved scalar nucleons, using the extended hyperbolic function approach, the unified solver approach and the Jacobi elliptic function solutions in rational form. The suggested methods are described as being easier to understand, clearer, and more concise. They enable the rally of a wide variety of optical solitons, including 1-singular, multisingular, 2-singular, bell-shaped, periodic, dark, bright, and kink ones, as well as the broadening of the class of solutions. This demonstrates the significance of the outcomes. As these techniques have never been applied to obtain optical solitons for this model, and the Jacobi elliptic function solutions in rational form are the first time in literature to the best of our knowledge, the authors highlight their novelty. The visual representations of some of the solutions in the figures help to understand the physical characteristics of the numerous new soliton solutions and their corresponding behaviors.
Sharmila et al. (Wed,) studied this question.