A noncommutative semi-discrete Toda equation and its quasideterminant solutions

Details A noncommutative semi-discrete Toda equation and its quasideterminant solutions A noncommutative semi-discrete Toda equation and its quasideterminant solutions

2008-06-23

arxiv.org/abs/0806.3598v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

7 pages; version to appear in Glasgow Mathematical Journal

Scientific paper

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.

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