论文标题
无分散集成PDE家族的相似性转换和线性化
Similarity transformations and linearization for a family of dispersionless integrable PDEs
论文作者
论文摘要
我们将躺点对称性的理论应用于对偏微分方程家族的研究，该方程可通过双曲线降低方法整合，并减少到Parelevé超越者的成员。这项研究的主要结果是，从谎言点对称提供的相似性转换的应用中，所有部分微分方程的家族的成员都还原为最大对称的二阶微分方程，并且可以线性化。
We apply the theory of Lie point symmetries for the study of a family of partial differential equations which are integrable by the hyperbolic reductions method and are reduced to members of the Painlevé transcendents. The main results of this study is that from the application of the similarity transformations provided by the Lie point symmetries all the members of the family of the partial differential equations are reduced to second-order differential equations which are maximal symmetric and can be linearized.
