Laplace transformation of Lie class \omega=1 overdetermined systems
Analysis of PDEs
2015-05-30 v1 Differential Geometry
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.
Keywords
Cite
@article{arxiv.1108.5852,
title = {Laplace transformation of Lie class \omega=1 overdetermined systems},
author = {Boris Kruglikov},
journal= {arXiv preprint arXiv:1108.5852},
year = {2015}
}