DIPS 1/2003 [tex source, PostScript, PDF file, dvi]

Title: Homogeneous spaces associated with Miura transformations.

Author: Sergei IGONIN

For scalar evolution equations, we prove that a zero-curvature representation with values in a Lie algebra g and a certain type homogeneous space of g determine a Miura transformation. Using this result, we show how to construct and classify Miura transformations for a given equation.

Revised version from February 13, 2003, 7 pages, LaTeX-2e (AmSLaTeX).

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