Journal of Nonlinear Mathematical Physics

Volume 15, Issue supplement 3, October 2008, Pages 197 - 208

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

Authors
Georgi G. Grahovski, Marissa Condon
Corresponding Author
Georgi G. Grahovski
Available Online 1 October 2008.
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/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
15 - supplement 3
Pages
197 - 208
Publication Date
2008/10/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2008.15.s3.20How to use a DOI?
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/).

Cite this article

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  -