Soliton wave solutions in optical metamaterials with anti-cubic law of nonlinearity by ITEM

This paper investigates soliton perturbation in optical metamaterials, with anti-cubic nonlinearity, by implementing an integration approach, namely, the improved tan(ϕ(ξ)/2)-expansion method (ITEM). Bright, dark and singular soliton solutions are obtained. The existence criteria of these solitons in metamaterials are also demonstrated. Finally, we believe that the executed method is robust and efficient than other methods and the obtained solutions in this paper can help us to understand the variation of solitary waves in optical metamaterials.