In this paper, some new traveling wave solutions to the conformable time-fractional Wu–Zhang system are constructed with the help of the extended Fan sub-equation method. The conformable fractional derivative is employed to transform the fractional form of the system into ordinary differential system with an integer order. Some distinct types of figures are sketched to illustrate the physical behavior of the obtained solutions. The power and effective of the used method is shown and its ability for applying different forms of nonlinear evolution equations is also verified.

中文翻译：

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适形时间分数 Wu-Zhang 系统的显式、周期性和色散孤子解

本文利用扩展范子方程方法构造了适形时间分数五张系统的一些新的行波解。使用一致分数导数将系统的分数形式转换为具有整数阶的普通微分系统。绘制了一些不同类型的图形以说明获得的解决方案的物理行为。显示了所使用方法的功效和有效性，并验证了其应用不同形式的非线性演化方程的能力。