Paraconformal Structures and Integrable Systems
solv-int
2007-05-23 v1 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Abstract
We consider some natural connections which arise between right-flat (p, q) paraconformal structures and integrable systems. We find that such systems may be formulated in Lax form, with a "Lax p-tuple" of linear differential operators, depending a spectral parameter which lives in (q-1)-dimensional complex projective space. Generally, the differential operators contain partial derivatives with respect to the spectral parameter.
Cite
@article{arxiv.solv-int/9906008,
title = {Paraconformal Structures and Integrable Systems},
author = {James D. E. Grant},
journal= {arXiv preprint arXiv:solv-int/9906008},
year = {2007}
}
Comments
14 pages, Latex 2e, submitted to Nonlinearity