This article presents a technique for finding solitary wave solutions of higher-order nonlinear differential equations. Time fractional nonlinear differential equations that have hierarchy contain higher orders are presented for the description of highly dispersive optical solutions. We find optical solitons with high dispersion order for time-fractional nonlinear perturbed Schrödinger equations of the fourth and sixth orders. Some figures are investigated to show the accuracy of the solutions obtained.

中文翻译：

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扰动时间分数阶非线性Schrödinger方程的孤子解

本文提出了一种寻找高阶非线性微分方程孤立波解的技术。为了描述高度色散的光学解决方案，提出了具有更高阶次的时间分数非线性微分方程。我们发现四阶和六阶时间分数阶非线性摄动薛定ding方程具有高色散阶数的光学孤子。研究了一些数字以显示所获得解决方案的准确性。