On a direct approach to quasideterminant solutions of a noncommutative modified KP equation
Exactly Solvable and Integrable Systems
2009-11-13 v2
Abstract
A noncommutative version of the modified KP equation and a family of its solutions expressed as quasideterminants are discussed. The origin of these solutions is explained by means of Darboux transformations and the solutions are verified directly. We also verify directly an explicit connection between quasideterminant solutions of the noncommutative mKP equation and the noncommutative KP equation arising from the Miura transformation.
Keywords
Cite
@article{arxiv.0711.3733,
title = {On a direct approach to quasideterminant solutions of a noncommutative modified KP equation},
author = {C. R. Gilson and J. J. C. Nimmo and C. M. Sooman},
journal= {arXiv preprint arXiv:0711.3733},
year = {2009}
}