Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1892646 | Journal of Geometry and Physics | 2015 | 10 Pages |
Abstract
In this paper, I construct the Darboux transformations for the noncommuting elements Ï and Ï of noncommutative Toda system at n=1 with the help of zero curvature representation to the associated systems of non-linear differential equations. I also derive the quasideterminant solutions to the noncommutative Painlevé II equation by taking the Toda solutions at n=1 as a seed solution in its Darboux transformations. Further by iteration, I generalize the Darboux transformations of these solutions to the Nth form.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Irfan Mahmood,