Homogeneous Backlund transformations of hyperbolic Monge-Ampere systems
Differential Geometry
2016-09-07 v1 Analysis of PDEs
Abstract
A Backlund transformation between two hyperbolic Monge-Ampere systems may be described as a certain type of exterior differential system on a 6-dimensional manifold B. The transformation is homogeneous if the group of symmetries of the system acts transitively on B. We give a complete classification of homogeneous Backlund transformations between hyperbolic Monge-Ampere systems.
Keywords
Cite
@article{arxiv.math/0111208,
title = {Homogeneous Backlund transformations of hyperbolic Monge-Ampere systems},
author = {J. N. Clelland},
journal= {arXiv preprint arXiv:math/0111208},
year = {2016}
}
Comments
51 pages, 2 figures, submitted to the Journal of Differential Geometry