Acta Applicandae Mathematicae

, Volume 99, Issue 3, pp 309–319 | Cite as

Coverings of Differential Equations and Cartan’s Structure Theory of Lie Pseudo-Groups

  • Oleg I. Morozov


We establish relations between Maurer–Cartan forms of symmetry pseudo-groups and coverings of differential equations. Examples include Liouville’s equation, the Khokhlov–Zabolotskaya equation, and the Boyer–Finley equation.


Lie pseudo-groups Maurer–Cartan forms Symmetries of differential equations Coverings of differential equations 

Mathematics Subject Classification (2000)

58H05 58J70 35A30 


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Copyright information

© Springer Science+Business Media B.V. 2007

Authors and Affiliations

  1. 1.Moscow State Technical University of Civil AviationMoscowRussia

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