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Laplace transformation of Lie class \omega=1 overdetermined systems

Authors
  • Kruglikov, Boris
Type
Preprint
Publication Date
Aug 30, 2011
Submission Date
Aug 30, 2011
Identifiers
DOI: 10.1142/S1402925111001805
Source
arXiv
License
Yellow
External links

Abstract

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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