Strachan, I.A.B. (1993) Some integrable hierarchies in (2+1) dimensions and their twistor description. Journal of Mathematical Physics, 34(1), pp. 243-259. (doi: 10.1063/1.530379)
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Abstract
The twistor space construction, due to Mason and Sparling, for solutions of the nonlinear Schrödinger and Korteweg–deVries hierarchies is generalized, resulting in families of integrable models in (2+1) dimensions. Soliton solutions to one such hierarchy [associated with the gauge group SU(2)] are constructed by adapting the methods used to construct instanton and monopole solutions. These integrable models have the feature that their solutions depend on a number of arbitrary functions as well as arbitrary constants, in contrast to the closely related Davey–Stewartson hierachy.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Strachan, Professor Ian |
| Authors: | Strachan, I.A.B. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of Mathematical Physics |
| Publisher: | AIP Publishing |
| ISSN: | 0022-2488 |
| ISSN (Online): | 1089-7658 |
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