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On continual classes of evolution equations

Sergei Sakovich
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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.

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Sergei Sakovich. 2005-01-21. On continual classes of evolution equations. https://doi.org/10.5281/zenodo.17243012

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