Optical wave profiles for the higher order cubic-quartic Bragg-gratings with anti-cubic nonlinear form

In this paper, we explored the optical soliton solutions for gaining optical solitons from cubic quartic Bragg-gratings (BGs) with anti-cubic nonlinearity. The Bragg-gratings is a coupled system that has a wide range of applications in many branches of science, the telecommunication industry, plasma, optical fibers, technology, and other areas of engineering. A mathematical approach is applied to gain optical soliton solutions of this anti-cubic nonlinear system with the help of ϕ ^6 -model expansion. This approach provided us the optical soliton such as shock soliton, periodic soliton, bright soliton, and singular soliton. The soliton amplitude-width relation can be derived from a polynomial equation of any degree. Additionally, the physical of these optical solitons is shown graphically for some extracted solutions by selecting different values of parameters in the form of 3D and their corresponding contours.