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On the internal approach to differential equations 3. Infinitesimal symmetries by Tryhuk, Veronika Chrastinová \and Václav is a scholarly article available to read on EtoBox.

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The geometrical theory of partial differential equations in the absolute sense, without any additional structures, is developed. In particular the symmetries need not preserve the hierarchy of independent and dependent variables. The order of derivatives can be changed and the article is devoted to the higher--order infinitesimal symmetries which provide a simplifying "linear aproximation" of general groups of higher--order symmetries. The classical Lie's approach is appropriately adapted.

Author

Tryhuk, Veronika Chrastinová \and Václav

Published

2014

Language

EN