Laplace transformation of Lie class ω=1 overdetermined systems
classification
🧮 math.AP
math.DG
keywords
systemsintegrationlaplaceoverdeterminedpdestransformationcharacteristicclass
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In this paper we investigate overdetermined systems of scalar PDEs on the plane with one common characteristic, whose general solution depends on 1 function of 1 variable. We describe linearization of such systems and their integration via Laplace transformation, relating this to Lie's integration theorem and formal theory of PDEs.
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