In this paper, we propose two new extensions of the rational trigonometric methods for solving distinct forms of Boussinesq-like equations. The proposed methods give solutions which are expressed by hyperbolic, trigonometric, and rational expressions of these functions. Our results demonstrate the power of the proposed methods for the determination of exact solutions of nonlinear partial differential equations, such as Boussinesq-like equations which we will study in this work.

中文翻译：

---

新的扩展有理三角方法和应用

在本文中，我们提出了有理三角法的两个新扩展，用于求解类Boussinesq方程的不同形式。所提出的方法给出了由这些函数的双曲，三角和有理表达式表示的解决方案。我们的结果证明了所提出的方法可以确定非线性偏微分方程（例如类似Boussinesq方程）的精确解，我们将在本文中进行研究。