The goal of this investigation is based on electromagnetic wave behavior which is modeled by a nonlinear Schrodinger equation in a nonlinear metamaterial optical system. Two regimes are under consideration known as negative index regime and absorption regime. During the propagation, second-order dispersion, cubic-quintic nonlinearities and cubic-Raman effect are taken into account. The characterization of electromagnetic wave is assured by collective coordinates method and conventional ansatz function. The soliton light pulse is progressively modified by quintic-nonlinearity and cubic-Raman effect in order to provoke freak waves, tree structures and soliton self-frequency shift generation. Hence, the coefficients of the Schrodinger equation are plotted in order to improve the explanation of these strange phenomena. Moreover, all those above mentioned phenomena are strongly influenced by frequency and the regime under consideration. Thus, some specific freak waves such as Kuznetsov–Ma, Peregrine and Riemann waves are found. It is clearly pointed out the key role of internal and external disturbances due to cubic-Raman effects. That leads to freak waves, tree structures and soliton self frequency shift generation for both regimes. The so-called self-compensation process as technique of cancellation of these phenomena is also investigated.

中文翻译：

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非线性超材料中五次非线性和三次拉曼效应引起的树状结构和怪胎波生成

本研究的目标是基于电磁波行为，该行为由非线性超材料光学系统中的非线性薛定谔方程建模。正在考虑两种机制，称为负指数机制和吸收机制。在传播过程中，考虑了二阶色散、三次五次非线性和三次拉曼效应。电磁波的表征是通过集体坐标法和常规的 ansatz 函数来保证的。孤子光脉冲通过五次非线性和三次拉曼效应逐渐修改，以激发异常波、树结构和孤子自频移生成。因此，绘制薛定谔方程的系数以改进对这些奇怪现象的解释。而且，所有上述现象都受到频率和所考虑的制度的强烈影响。因此，发现了一些特定的怪胎波，例如 Kuznetsov-Ma、Peregrine 和 Riemann 波。明确指出了由三次拉曼效应引起的内部和外部干扰的关键作用。这会导致两种状态的异常波、树状结构和孤子自频移产生。还研究了作为消除这些现象的技术的所谓自补偿过程。两种机制的树结构和孤子自频移生成。还研究了作为消除这些现象的技术的所谓自补偿过程。两种机制的树结构和孤子自频移生成。还研究了作为消除这些现象的技术的所谓自补偿过程。