Integrable mappings for noncommuting objects
High Energy Physics - Theory
2023-09-06 v2
Abstract
We construct hierarchies of integrable systems invariant under the two-dimensional Darboux-Toda mapping for noncommuting objects, thus generalizing to the noncommutative case the integrable mapping approach to nonlinear dynamical systems. Besides the usual setup with one time and two space dimensions, we consider the case when the unknown functions also depend on two Grassman variables.
Cite
@article{arxiv.hep-th/9609024,
title = {Integrable mappings for noncommuting objects},
author = {Andrei N. Leznov and Emil A. Yuzbashyan},
journal= {arXiv preprint arXiv:hep-th/9609024},
year = {2023}
}
Comments
11 pages, language improved