Nonlinear Phenomena in Complex Systems, 2025, Vol.28, No.3, pp.308

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2025, Vol.28, No.3, pp.308 - 311

On Continual Classes of Evolution Equations

Sergei Sakovich

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.

Key words: evolution equations, Miura transformation, zero-curvature representations

DOI: https://doi.org/10.5281/zenodo.17243012

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