Backlund Transformations for Darboux Integrable Differential Systems
Differential Geometry
2014-07-14 v2
Abstract
We give a new mechanism for constructing Backlund transformations by using symmetry reduction of differential systems. We then characterize a family of Backlund transformations between Darboux integrable systems where the Backlund transformation can be constructed by the proposed symmetry reduction method.
Cite
@article{arxiv.1108.5443,
title = {Backlund Transformations for Darboux Integrable Differential Systems},
author = {Ian M. Anderson and Mark E. Fels},
journal= {arXiv preprint arXiv:1108.5443},
year = {2014}
}
Comments
61 pages