Note on the symplectic structure on the dressing group in the sinh-Gordon model

摘要

We analyse the symplectic structure on the dressing group in the sinh-Gordon model by calculating explicitly the Poisson bracket of the dressing group elements which create a generic one soliton solution from the vacuum. Our result is that the bracket between the dressing group elements does not coincide with the Semenov-Tian-Shansky one. However, a factor related to the topological charge interpolates between these two brackets. (author). 12 refs. (Atomindex citation 27:054551)