A noncommutative semi-discrete Toda equation and its quasideterminant solutions
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.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2008
- DOI:
- 10.48550/arXiv.0806.3598
- arXiv:
- arXiv:0806.3598
- Bibcode:
- 2008arXiv0806.3598L
- Keywords:
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- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- Nonlinear Sciences - Chaotic Dynamics
- E-Print:
- 7 pages