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Symmetries of Differential Equations via Cartan's Method of Equivalence

O. I. Morozov
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Abstract

We formulate a method of computing invariant 1-forms and structure equations of symmetry pseudo-groups of differential equations based on Cartan's method of equivalence and the moving coframe method introduced by Fels and Olver. Our apparoach does not require a preliminary computation of infinitesimal defining systems, their analysis and integration, and uses differentiation and linear algebra operations only. Examples of its applications are given.

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O. I. Morozov. 2001-05-16. Symmetries of Differential Equations via Cartan's Method of Equivalence. https://doi.org/10.1088/0305-4470%2F35%2F12%2F317

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