标题： 迈向新方案：CBKDV及其导出方程的李群方法 显示英文标题

标题： Towards new schemes: A Lie-group approach of the CBKDV and its derived equations

摘要： 本文的目的是提出方法，使我们能够构建新的数值格式，这些格式保留原始微分方程的李对称性。 为此，考虑了复合Burgers-Korteweg-de Vries (\textit{CBKDV}) 方程。 取Burgers方程的特殊情况作为数值例子，并展示了所得的半不变格式。 显示英文摘要

摘要： The aim of this paper is to propose methods that enable us to build new numerical schemes, which preserve the Lie symmetries of the original differential equations. To this purpose, the compound Burgers-Korteweg-de Vries (\textit{CBKDV}) equation is considered. The particular case of the Burgers equation is taken as a numerical example, and the resulting semi-invariant scheme is exposed.