In this paper, we sketch and scrutinize the solitonic wave solution of Camassa–Holm equation by applying Kudryashov’s new method. We promote the algorithm of our new method to find the new solutions of this essential model. Camassa–Holm equation is a recent model in the point of distortion of hierarchies composition of integrability systems. It has been displayed that these solutions have the shape of dark, bright and singular solitons solutions of Camassa–Holm nonlinear Schrodinger equation. Graphically changing of extracted results of this model (CH) has been separated to grasp the substantial evolution. We analyze the sensitivity of the obtained solutions on behalf of different boundary conditions. It is fair that our model furnishes an impressive mathematical mechanism for manufacturing the solutions of the traveling wave for many models in physics and mathematics. The strategy utilized here is straightforward and succinct.

中文翻译：

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Camassa-Holm 和非线性薛定谔动力学方程的计算和明亮孤子解和灵敏度行为

在本文中，我们应用Kudryashov 的新方法勾画并研究了Camassa-Holm 方程的孤子波解。我们推广我们的新方法的算法，以找到这个基本模型的新解决方案。Camassa-Holm 方程是可积系统的层次结构变形点的最新模型。已经表明，这些解具有 Camassa-Holm 非线性薛定谔方程的暗、亮和奇异孤子解的形状。该模型（CH）的提取结果的图形变化已被分离以掌握实质性演变。我们代表不同的边界条件分析获得的解决方案的敏感性。公平地说，我们的模型提供了一个令人印象深刻的数学机制，用于为物理和数学中的许多模型制造行波的解。这里使用的策略简单明了。