True and fake Lax pairs: how to distinguish them
Exactly Solvable and Integrable Systems
2020-11-12 v2 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
The gauge-invariant description of zero-curvature representations of evolution equations is applied to the problem of how to distinguish the fake Lax pairs from the true Lax pairs. The main difference between the true Lax pairs and the fake ones is found in the structure of their cyclic bases.
Cite
@article{arxiv.nlin/0112027,
title = {True and fake Lax pairs: how to distinguish them},
author = {Sergei Sakovich},
journal= {arXiv preprint arXiv:nlin/0112027},
year = {2020}
}
Comments
5 pages; v2: sections, discussion, references added