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Symmetries of partial differential equations

Hervé Gaussier·Joël Merker
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Abstract

We establish a link between the study of completely integrable systems of partial differential equations and the study of generic submanifolds in C^n. Using the recent developments of Cauchy-Riemann geometry we provide the set of symmetries of such a system with a Lie group structure. Finally we determine the precise upper bound of the dimension of this Lie group for some specific systems of partial differential equations.

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Hervé Gaussier, Joël Merker. 2004-04-13. Symmetries of partial differential equations. https://arxiv.org/abs/math/0404246

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