Electromagnetic wave solitons in optical metamaterials

Abstract

In this paper, we investigate the nonlinear Schrödinger equation governing the dynamics of electromagnetic pulse in metamaterials exhibiting a parabolic law nonlinearity. By using the complex envelope ansatz method and the F-expansion method, we obtain bright and dark soliton as well as kink, bell shape solitary wave solutions and periodic wave solutions. These new exact solutions may be useful in the explanation and understanding of metamaterials physical structure and phenomena.