Equivalence of Two Approaches to the mKdV Hierarchies

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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23 pages, AMSLATEX

Scientific paper

10.1007/s002200050088

The equivalence between the approaches of Drinfeld-Sokolov and Feigin-Frenkel
to the mKdV hierarchies is established. A new derivation of the mKdV equations
in the zero curvature form is given. Connection with the Baker-Akhiezer
function and the tau-function is also discussed.

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