This paper investigates the analytical, semianalytical, and numerical solutions of the –dimensional integrable Schwarz–Korteweg–de Vries (SKdV) equation. The extended simplest equation method, the sech-tanh method, the Adomian decomposition method, and cubic spline scheme are employed to obtain distinct formulas of solitary waves that are employed to calculate the initial and boundary conditions. Consequently, the numerical solutions of this model can be investigated. Moreover, their stability properties are also analyzed. The solutions obtained by means of these techniques are compared to unravel relations between them and their characteristics illustrated under the suitable choice of the parameter values.

中文翻译：

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具有Miura变换的维可积Schwarz-Korteweg-de Vries方程的计算和数值解

本文研究了模型的解析，半解析和数值解。 -维可积分Schwarz-Korteweg-de Vries（SKdV）方程。使用扩展的最简单方程方法，sech-tanh方法，Adomian分解方法和三次样条方案来获得孤立波的不同公式，这些公式用于计算初始条件和边界条件。因此，可以研究该模型的数值解。此外，还分析了它们的稳定性。通过这些技术手段获得的溶液进行比较，以根据所述参数值的合适的选择示出他们和他们的特性之间的关系解开。