A noncommutative semi-discrete Toda equation and its quasideterminant solutions
arXiv:0806.3598
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.
7 pages; version to appear in Glasgow Mathematical Journal