On the complex mixed dark-bright wave distributions to some conformable nonlinear integrable models

Abstract

In this research paper, we implement the sine-Gordon expansion method to two governingmodels which are the (2+1)-dimensional Nizhnik–Novikov–Veselov equation and the Caudrey–Dodd–Gibbon–Sawada–Kotera equation. We use conformable derivative to transform these non-linear partial differential models to ordinary differential equations. We find some wave solutionshaving trigonometric function, hyperbolic function. Under the strain conditions of these solu-tions obtained in this paper, various simulations are plotted.