Symmetries of Differential Equations via Cartan's Method of Equivalence

Details Symmetries of Differential Equations via Cartan's Method of Equivalence Symmetries of Differential Equations via Cartan's Method of Equivalence

2001-05-16

arxiv.org/abs/math-ph/0105022v1

Journal of Physics A, Mathematical and General, 2002, V 35, pp. 2965-2977

Physics

Mathematical Physics

15 pages, LaTeX 2.09

Scientific paper

10.1088/0305-4470/35/12/317

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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