In this article, the Elzaki decomposition method is used to evaluate the solution of fractional-order Whitham–Broer–Kaup equations. With the help of Elzaki transform coupled with Adomian decomposition method, an iterative procedure is established to investigate approximate solution to the suggested coupled scheme of nonlinear partial fractional differential equations. The solution of some illustrative examples is presented to show the validity of the proposed technique. The results of the proposed technique are shown and analyzed with the help of figures and tables. Also, we compared the results of our proposed technique with the homotopy perturbation method. The present method has less computational costs and a higher rate of convergence. The suggested algorithm is therefore very helpful to solve other fractional-order systems of partial differential equations.

中文翻译：

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分数阶Whitham-Broer-Kaup方程的Elzaki分解法解析解

在本文中，Elzaki 分解方法用于评估分数阶 Whitham-Broer-Kaup 方程的解。借助Elzaki变换结合Adomian分解方法，建立了一个迭代过程来研究非线性偏分数微分方程建议耦合格式的近似解。提出了一些说明性示例的解决方案，以显示所提出技术的有效性。所提出的技术的结果在图表的帮助下显示和分析。此外，我们将我们提出的技术与同伦扰动方法的结果进行了比较。本方法具有较少的计算成本和较高的收敛速度。