This paper is an attempt to present and discuss at some length the SingularManifold Method. This Method is based upon the Painlev\'e Propertysystematically used as a tool for obtaining clear cut answers to almost all thequestions related with Nonlinear Partial Differential Equations: Lax pairs,Miura, B\"acklund or Darboux Transformations as well as $\tau$-functions, in aunified way. Besides to present the basics of the Method we exemplify thisapproach by applying it to four equations in $(1+1)$-dimensions. Two of themare related with the other two through Miura transformations that are alsoderived by using the Singular Manifold Method.
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机译：本文试图以某种长度介绍和讨论奇异流形方法。此方法基于Painlev'e属性，系统地用作获取与非线性偏微分方程有关的几乎所有问题的清晰答案的工具：Lax对，Miura，B \“ acklund或Darboux变换以及$ \ tau $ -函数，以统一的方式表示-除了介绍该方法的基础之外，我们还将其应用到$（1 + 1）$维度的四个方程中，以例证该方法，其中两个通过Miura变换与其他两个方程相关，这些方程也由使用奇异流形方法。
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