We present new exact traveling wave solutions of generalized Sharma-Tasso-Olver (STO) with variable coefficients using three different methods, namely the extended F-expansion, the new sub-equations, and generalized Kudryashov expansion. We obtain new solutions with the form of solitons, triangular and rational functions. Computational results indicate that these methods are very useful and easily applicable for solving diverse types of differential equations in nonlinear science.

中文翻译：

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Sharma-Tasso-Olver方程的显式解

我们使用三种不同的方法，即扩展的F展开，新的子方程式和广义的Kudryashov展开，给出了具有可变系数的广义Sharma-Tasso-Olver（STO）的新精确行波解。我们获得了具有孤子，三角函数和有理函数形式的新解。计算结果表明，这些方法对于求解非线性科学中的各种类型的微分方程非常有用且易于应用。