On continual classes of evolution equations
arXiv:nlin/0501038 · doi:10.5281/zenodo.17243012
Abstract
The original Miura transformation, considered as a nonlinear potential transformation, is applicable to a continual class of evolution equations, not only to discrete integrable equations and their hierarchies. The same continual class of evolution equations appears from a different problem, namely, from the gauge-invariant description of a zero-curvature representation with a definite x-part containing no essential parameter.
5 pages