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arXiv · 1205.2914

Generalized Lie-Bäcklund theorem for Lie class ω=1 overdetermined systems

Boris Kruglikov
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Abstract

In this paper we prove a version of Lie-Bäcklund theorem for overdetermined systems of scalar PDEs, whose general solution depends on 1 function of 1 variable. This generalizes the case of involutive system of the second order on the plane treated by E.Cartan in 1910. Many examples are provided.

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BibTeXRIS

Boris Kruglikov. 2013-05-30. Generalized Lie-Bäcklund theorem for Lie class ω=1 overdetermined systems. https://arxiv.org/abs/1205.2914

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