Document Type
Article
Rights
This item is available under a Creative Commons License for non-commercial use only
Disciplines
Applied mathematics
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.
DOI
https://doi.org/10.21427/7h4z-e280
Recommended Citation
R. Ivanov, On the dressing method for the generalised Zakharov-Shabat system, Nuclear Physics B 694, no. 3, 30 August 2004, 509-524. doi.org/10.21427/7h4z-e280
Included in
Mathematics Commons, Non-linear Dynamics Commons, Partial Differential Equations Commons
Publication Details
Nuclear Physics B 694, no. 3, 30 August 2004, 509-524