We investigate solitons in Peyrard-Bishop model of DNA molecule using Renormalization group methods which provide a systematic way for perturbation analysis. Small amplitude expansion is carried out in both the continuous and discrete limits. We review exact solution for the continuous model. Further, we discuss reliability of the solitonic solutions and argue that the envelope should propagate with a group velocity contrary to previous proposals.

中文翻译：

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DNA 的 Peyrard-Bishop 模型中的孤子和重整化群方法

我们使用重整化组方法研究 DNA 分子的 Peyrard-Bishop 模型中的孤子，这为扰动分析提供了系统的方法。在连续和离散极限中都进行小幅度扩展。我们回顾了连续模型的精确解。此外，我们讨论了孤子解的可靠性，并认为包络应该以与以前的建议相反的群速度传播。