On continual classes of evolution equations
Exactly Solvable and Integrable Systems
2025-10-20 v2 Mathematical Physics
Analysis of PDEs
math.MP
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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Cite
@article{arxiv.nlin/0501038,
title = {On continual classes of evolution equations},
author = {Sergei Sakovich},
journal= {arXiv preprint arXiv:nlin/0501038},
year = {2025}
}
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5 pages