On the Caudrey-Beals-Coifman System and the Gauge Group Action

DOI

10.2991/jnmp.2008.15.s3.20How to use a DOI?

Abstract

The generalized Zakharov­Shabat systems with complex-valued Cartan elements and the systems studied A.V. Mikhailov, and later on by Caudrey, Beals and Coifman (CBC systems), and their gauge equivalent are studied. 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.

Copyright

© 2008, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - JOUR
AU  - Georgi G. Grahovski
AU  - Marissa Condon
PY  - 2008
DA  - 2008/10/01
TI  - On the Caudrey-Beals-Coifman System and the Gauge Group Action
JO  - Journal of Nonlinear Mathematical Physics
SP  - 197
EP  - 208
VL  - 15
IS  - supplement 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2008.15.s3.20
DO  - 10.2991/jnmp.2008.15.s3.20
ID  - Grahovski2008
ER  -