On the Dressing Method for the Generalised Zakharov--Shabat System
Mathematical Physics
2010-04-05 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
The dressing procedure for the Generalised Zakharov--Shabat system is well known for systems, related to sl(N) algebras. We extend the method, constructing explicitly the dressing factors for some systems, related to orthogonal and symplectic Lie algebras. We consider 'dressed' fundamental analytical solutions with simple poles at the prescribed eigenvalue points and obtain the corresponding Lax potentials, representing the soliton solutions for some important nonlinear evolution equations.
Cite
@article{arxiv.math-ph/0402031,
title = {On the Dressing Method for the Generalised Zakharov--Shabat System},
author = {Rossen I. Ivanov},
journal= {arXiv preprint arXiv:math-ph/0402031},
year = {2010}
}
Comments
17 pages, LaTeX