Symmetries of partial differential equations
classification
🧮 math.CV
math.DG
keywords
differentialequationspartialgroupsymmetriessystemsboundcauchy-riemann
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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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