On the Dressing Method for the Generalised Zakharov--Shabat System

Details On the Dressing Method for the Generalised Zakharov--Shabat System On the Dressing Method for the Generalised Zakharov--Shabat System

2004-02-12

arxiv.org/abs/math-ph/0402031v1

Nuclear Physics B, Volume 694, Issue 3 (2004) 509-524.

Physics

Mathematical Physics

17 pages, LaTeX

Scientific paper

10.1016/j.nuclphysb.2004.06.039

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.

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