Abstract We study the influence of higher-order effects such as third order dispersion (TOD), fourth order dispersion (FOD), quintic nonlinearity (QN), self steepening (SS) and second order nonlinear dispersion (SOND) on the dynamics of dissipative soliton (DS) in metamaterials. Considering each higher-order effect as a perturbation to the system and following Lagrangian variational method, we demonstrate stable dynamics of DS as a result of the interplay between different higher-order effects. We also perform numerical analysis to confirm the analytical results.

中文翻译：

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高阶效应对超材料中耗散孤子的影响

摘要 我们研究了三阶色散 (TOD)、四阶色散 (FOD)、五次非线性 (QN)、自陡峭 (SS) 和二阶非线性色散 (SOND) 等高阶效应对耗散动力学的影响。超材料中的孤子（DS）。将每个高阶效应视为对系统的扰动，并遵循拉格朗日变分方法，我们证明了由于不同高阶效应之间相互作用而导致的稳定动力学。我们还进行数值分析以确认分析结果。