Dromion solutions of noncommutative Davey–Stewartson equations

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


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
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

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