A noncommutative semi-discrete Toda equation and its quasideterminant solutions
Exactly Solvable and Integrable Systems
2008-06-24 v1 Chaotic Dynamics
Abstract
A noncommutative version of the semi-discrete Toda equation is considered. A Lax pair and its Darboux transformations and binary Darboux transformations are found and they are used to construct two families of quasideterminant solutions.
Cite
@article{arxiv.0806.3598,
title = {A noncommutative semi-discrete Toda equation and its quasideterminant solutions},
author = {C. X. Li and J. J. C. Nimmo},
journal= {arXiv preprint arXiv:0806.3598},
year = {2008}
}
Comments
7 pages; version to appear in Glasgow Mathematical Journal