Abstract
A preliminary investigation is done about the Poisson-Bracket algebra obeyed by the scattering data associated with a non-ultralocal field theory sustaining soliton solutions. The result is quite distinct from the usual Poisson-bracket relations usually observed in ultralocal field theory. This important difference is reflected in the changed Zamoldachikov algebra of the R(K)-reflection operator, crucial in the quantization progress of the nonlinear system in two dimensions. Our results though not conclusive, yet is useful in the future progress of quantization of such field theories.
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