Nonlinear phenomena have important effects on applied mathematics, physics, and issues related to engineering. Most physical phenomena are modeled according to partial differential equations. It is difficult for nonlinear models to obtain the closed form of the solution, and in many cases, only an approximation of the real solution can be obtained. The perturbation method is a wave equation solution using HPM compared with the Fourier series method, and both methods results are good agreement. The percentage of error of with , t =0.1 sec, between the present research and Yong-Ju Yang study for is less than 10. Also, the % error for in , t =0.3 sec, is less than 5, whereas for , t =0.8 and 0.7 sec, the % error for is less than 8.

中文翻译：

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局部分数同伦摄动法在物理问题中的应用

非线性现象对应用数学，物理学和与工程有关的问题具有重要影响。大多数物理现象都是根据偏微分方程建模的。非线性模型很难获得解的封闭形式，并且在许多情况下，只能获得逼近解的近似值。与傅立叶级数法相比，摄动法是使用HPM的波动方程解，两种方法的结果吻合良好。误差百分比 与 ， t  = 0.1 sec，在本研究与杨勇举研究之间 小于10。此外，％错误 在 ， t  = 0.3秒，小于5，而对于， t  = 0.8和0.7秒，％误差为 小于8。