On the spectral parameter problem
Exactly Solvable and Integrable Systems
2024-03-21 v2
Abstract
We consider the problem whether a nonparametric zero-curvature representation can be embedded into a one-parameter family within the same Lie algebra. After introducing a computable cohomological obstruction, a method using the recursion operator to incorporate the parameter is discussed.
Cite
@article{arxiv.0804.2031,
title = {On the spectral parameter problem},
author = {M. Marvan},
journal= {arXiv preprint arXiv:0804.2031},
year = {2024}
}
Comments
24 pages; v2: mainly corrected exposition (esp. the examples) and added references