AFFINE SOLITONS: A RELATION BETWEEN TAU FUNCTIONS, DRESSING AND BÄCKLUND TRANSFORMATIONS

@article{Babelon1993AFFINESA,
  title={AFFINE SOLITONS: A RELATION BETWEEN TAU FUNCTIONS, DRESSING AND B{\"A}CKLUND TRANSFORMATIONS},
  author={Olivier Babelon and Denis Bernard},
  journal={International Journal of Modern Physics A},
  year={1993},
  volume={08},
  pages={507-543}
}
We reconsider the construction of solitons by dressing transformations in the sine-Gordon model. We show that the N-soliton solutions are in the orbit of the vacuum, and we identify the elements in the dressing group which allow us to build the N-soliton solutions from the vacuum solution. The dressed τ functions can be computed in two different ways: either using adjoint actions in the affine Lie algebra , and this gives the relation with the Backlund transformations, or using the level-one… Expand
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