This paper focuses on realizing the exact solutions of three distinct important biological models using the Painlevé approach. These three models are the nonlinear dynamics of microtubules — a new model, the Kundu–Eckhaus model and the double chain model of DNA. Furthermore, the numerical solutions of these three equations have been achieved using the variational iteration method.

中文翻译：

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Painlevé 方法及其在获得三个生物模型的新精确解而不是其数值解中的应用

本文的重点是使用 Painlevé 方法实现三个不同的重要生物模型的精确解。这三个模型是微管的非线性动力学——新模型、昆杜-埃克豪斯模型和 DNA 双链模型。此外，这三个方程的数值解已经使用变分迭代方法获得。