Lie Analysis of Di erential Equations : The Role of Canonical
نویسنده
چکیده
Lie Analysis of Diierential Equations (D.E.) is based on the symmetries of D.E. and their integral curves. The method looks for new variables, called canonical variables, which straighten out the group action. This article is devoted to explain what are those variables and why they simplify the D.E., trying to strike a balance between the original avor of Lie's idea and the algorithm usually presented in most of the modern textbooks on the subject, which are directed to determine the symmetry groups of D.E.
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