Symmetries of partial differential equations
Complex Variables
2007-05-23 v1 Differential Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.math/0404246,
title = {Symmetries of partial differential equations},
author = {Hervé Gaussier and Joël Merker},
journal= {arXiv preprint arXiv:math/0404246},
year = {2007}
}