On the Caudrey-Beals-Coifman System and the Gauge Group Action
Exactly Solvable and Integrable Systems
2009-07-30 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The generalized Zakharov-Shabat systems with complex-valued Cartan elements and the systems studied by Caudrey, Beals and Coifman (CBC systems) and their gauge equivalent are studies. This includes: the properties of fundamental analytical solutions (FAS) for the gauge-equivalent to CBC systems and the minimal set of scattering data; the description of the class of nonlinear evolutionary equations solvable by the inverse scattering method and the recursion operator, related to such systems; the hierarchies of Hamiltonian structures.
Cite
@article{arxiv.0710.3302,
title = {On the Caudrey-Beals-Coifman System and the Gauge Group Action},
author = {Georgi G. Grahovski and Marissa Condon},
journal= {arXiv preprint arXiv:0710.3302},
year = {2009}
}
Comments
12 pages, no figures, contribution to the NEEDS 2007 proceedings (Submitted to J. Nonlin. Math. Phys.)