In this paper, the generalized Jacobi elliptical functional (JEF) and modified Khater (MK) methods are employed to find the soliton, breather, kink, periodic kink, and lump wave solutions of the Ostrovsky equation. This model is considered as a mathematical modification model of the Korteweg-de Vries (KdV) equation with respect to the effects of background rotation. The solitary solutions of the well-known mathematical model (KdV equation) usually decay and are replaced by radiating inertia gravity waves. The obtained solitary solutions emerge the localized wave packet as a persistent and dominant feature. Many distinct solutions are obtained through the employed computational schemes. Moreover, some solutions are sketched in 2D, 3D, and contour plots. The effective and powerful of the two used computational schemes are tested. Furthermore, the accuracy of the obtained solutions is examined through a comparison between them and that had been obtained in previously published research.

中文翻译：

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通过 Ostrovsky 方程，关于剪切流的连续层状流体中的各种孤立解和雅可比解

在本文中，使用广义 Jacobi 椭圆泛函 (JEF) 和改进的 Khater (MK) 方法来求解 Ostrovsky 方程的孤子、呼吸、扭结、周期扭结和团波解。该模型被认为是 Korteweg-de Vries (KdV) 方程关于背景旋转影响的数学修正模型。众所周知的数学模型（KdV 方程）的孤立解通常会衰减并被辐射惯性重力波所取代。获得的孤立解决方案将局部波包作为持久和主要特征出现。通过采用的计算方案获得了许多不同的解决方案。此外，一些解决方案是在 2D、3D 和等高线图中绘制的。测试了两种使用的计算方案的有效性和强大性。此外，