分数阶Burgers-Poisson方程的同伦摄动方法
Homotopy perturbation method for fractional-order Burgers-Poisson equation
摘要：
本文将分数阶Burgers-Poisson方程的一阶时间导数用分数阶$α$代替，得到分数阶Burgers-Poisson方程.利用同伦摄动法得到了精确解和近似解。数值结果表明，所提出的方法是非常有效的和简单的处理分数阶微分方程。
英文摘要：
In this paper, the fractional-order Burgers-Poisson equation is introduced by replacing the first-order time derivative by fractional derivative of order $α$. Both exact and approximate explicit solutions are obtained by employing homotopy perturbation method. The numerical results reveal that the proposed method is very effective and simple for handling fractional-order differential equations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
