Exact solitons in optical metamaterials with quadratic-cubic nonlinearity using two integration approaches

The aim of this paper is to present soliton solutions in optical metamaterials. The quadratic-cubic nonlinearity is considered. Two efficient algorithms that are the exp(−Φ(η))-expansion method and extended Jacobi's elliptic function expansion scheme are used to carry out the mathematical analysis. As a result, analytical dark soliton, singular soliton and periodic solutions are obtained.