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Equivalence of Two Approaches to the mKdV Hierarchies

arXiv:q-alg/9606004 · doi:10.1007/s002200050088

Abstract

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.

23 pages, AMSLATEX