Abstract
BackgroundThis paper studies soliton perturbation in optical metamaterials, with anticubic nonlinearity.MethodsTwo integration approaches, namely, the extended trial equation method (ETEM) and the improved G’/Gexpansion method (IGEM) are presented.ResultsBright, dark and singular soliton solutions are retrieved. The existence criteria of these solitons in metamaterials are also demonstrated. All solutions have been verified back into its corresponding equation with the aid of maple package program.ConclusionsFinally, 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.
Highlights
This paper studies soliton perturbation in optical metamaterials, with anticubic nonlinearity
The first and second terms are the linear temporal evolution term and group velocity dispersion (GVD), while third term introduces the anti-cubic nonlinear term, fourth and fifth terms account for the parabolic law nonlinearity, and sixth, seventh and eighth terms represent the inter-modal dispersion (IMD), SS and
There are three forms of integration algorithms that will be applied to extract soliton solutions to metamaterials with AC nonlinearity. These schemes will retrieve bright, dark and singular soliton solutions that will be very important in the study of optical materials
Summary
The nonlinear dynamics that describes the propagation of pulses in optical metamaterials (MMs) is given by the nonlinear Schrödinger equation (NLSE). This paper is going to revisit the study of solitons in optical metamaterials for a specific form of nonlinear medium. There are three forms of integration algorithms that will be applied to extract soliton solutions to metamaterials with AC nonlinearity These schemes will retrieve bright, dark and singular soliton solutions that will be very important in the study of optical materials. Extended trial equation method [12, 21] and the generalized (G’/G)-expansion approach [22–24] will be applied, in the subsequent sections, to Eq (11) to retrieve bright, dark and singular soliton solutions to the NLSE with AC nonlinearity (1). We draw a conclusion about executed method and the generated results in “Conclusion” section
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