Gilson, C.R. and Macfarlane, S.R. (2009) Dromion solutions of noncommutative Davey–Stewartson equations. Journal of Physics A: Mathematical and Theoretical, 42(23), p. 235202. (doi: 10.1088/1751-8113/42/23/235202)
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Publisher's URL: http://dx.doi.org/10.1088/1751-8113/42/23/235202
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.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Gilson, Dr Claire |
| Authors: | Gilson, C.R., and Macfarlane, S.R. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of Physics A: Mathematical and Theoretical |
| ISSN: | 1751-8113 |
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