Dromion solutions of noncommutative Davey-Stewartson equations
Exactly Solvable and Integrable Systems
2015-05-13 v3
Abstract
We consider a noncommutative version of the Davey-Stewartson equations and derive two families of quasideterminant solution via Darboux and binary Darboux transformations. These solutions can be verified by direct substitution. We then calculate the dromion solutions of the equations and obtain computer plots in a noncommutative setting.
Keywords
Cite
@article{arxiv.0901.4918,
title = {Dromion solutions of noncommutative Davey-Stewartson equations},
author = {Claire R. Gilson and Susan R. Macfarlane},
journal= {arXiv preprint arXiv:0901.4918},
year = {2015}
}
Comments
23 pages, 6 figures