Higher-order temporal-dispersion partial differential equations have its capability to visualize the evolution of steeper-waves for shorter wave-length better than the higher-order KdV does. In this work, we study the physical-structure propagations of generalized fifth-order nonlinear equation involving time-dispersion term. This model is recently proposed by Wazwaz (Xu and Wazwaz, 2020) and is considered to be the first type of integrable equations that involves a third-order time-dispersion term. We implement three functional-methods to seek solitary wave solutions to the proposed model. 2D-plots are provided to recognize the type of the obtained solutions. Finally, we propose some physical properties of the bidirectional waves that such model admits.

高阶时间色散偏微分方程具有比高阶 KdV 更好地可视化更短波长的陡波演化的能力。在这项工作中，我们研究了涉及时间色散项的广义五阶非线性方程的物理结构传播。该模型最近由 Wazwaz 提出（Xu 和 Wazwaz，2020 年），被认为是第一种涉及三阶时间色散项的可积方程。我们实现了三种功能方法来寻求所提出模型的孤立波解决方案。提供了二维图来识别所获得的解决方案的类型。最后，我们提出了这种模型承认的双向波的一些物理特性。