On continual classes of evolution equations
可精确求解与可积系统
2025-10-20 v2 数学物理
偏微分方程分析
math.MP
摘要
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.
引用
@article{arxiv.nlin/0501038,
title = {On continual classes of evolution equations},
author = {Sergei Sakovich},
journal= {arXiv preprint arXiv:nlin/0501038},
year = {2025}
}
备注
5 pages