Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-06-30
Physics
High Energy Physics
High Energy Physics - Theory
Scientific paper
In this paper we provide an algebraic construction for the negative even mKdV hierarchy which gives rise to time evolutions associated to even graded Lie algebraic structure. We propose a modification of the dressing method, in order to incorporate a non-trivial vacuum configuration and construct a deformed vertex operator for $\hat{sl}(2)$, that enable us to obtain explicit and systematic solutions for the whole negative even grade equations.
de Melo G. R.
Franca Guilherme. S.
Gomes J. F.
Zimerman A. H.
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