In this paper, a new exact solution of the conformable Gilson–Pickering equation is investigated. It should be noted that some of the individual cases of the Gilson–Pickering equation are the conformable Camassa–Holm, the conformable Fornberg–Whitham, and the conformable Rosenau–Hyman equations. A new version of modified Kudryashov’s method with the help of the mathematical software package is employed to carry out this aim. It is believed that the new modified Kudryashov’s method is well suited, such that it can adapt to a broad range of partial differential equations.

中文翻译：

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使用新修改的 Kudryashov 方法的适形 Gilson-Pickering 方程的新精确解

在本文中，研究了适形 Gilson-Pickering 方程的新精确解。应该注意的是，Gilson-Pickering 方程的一些个别情况是一致的 Camassa-Holm、一致的 Fornberg-Whitham 和一致的 Rosenau-Hyman 方程。在数学软件包的帮助下，采用新版本的改进的 Kudryashov 方法来实现这一目标。人们相信，新修改的 Kudryashov 方法非常适合，因此它可以适应广泛的偏微分方程。