This paper studies soliton perturbation in optical metamaterials, with anticubic nonlinearity. Two integration approaches, namely, the extended trial equation method (ETEM) and the improved G’/Gexpansion method (IGEM) are presented. Bright, 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. 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.

中文翻译：

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利用ETEM和IGEM的反立方非线性光学超材料中的孤子

本文研究具有反立方非线性的光学超材料中的孤子摄动。提出了两种积分方法，即扩展试验方程法（ETEM）和改进的G'/ G展开法（IGEM）。检索到明亮，黑暗和奇异的孤子解。还证明了这些孤子在超材料中的存在准则。借助于maple package程序，所有解决方案均已验证回其相应的方程式。最后，我们认为所执行的方法比其他方法更健壮和有效，并且本文中获得的解决方案可以帮助我们理解光学超材料中孤立波的变化。