Strachan, I.A.B. (2001) Deformations of dispersionless KdV hierarchies. Letters in Mathematical Physics, 58(2), pp. 129-140. (doi: 10.1023/A:1013370516221)
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Publisher's URL: http://dx.doi.org/10.1023/A:1013370516221
Abstract
The obstructions to the existence of a hierarchy of hydrodynamic conservation laws are studied for a multicomponent dispersionless KdV system. It is proved that if the lowest order obstruction vanishes then all higher obstructions automatically vanish, if and only the underlying algebra is a Jordan algebra. Deformations of these multicomponent dispersionless KdV-type equations are also studied. It is shown that no new obstructions appear and, hence, that the existence of a fully deformed hierarchy depends only on the existence of a single purely hydrodynamic conservation law.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Strachan, Professor Ian |
| Authors: | Strachan, I.A.B. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Letters in Mathematical Physics |
| ISSN: | 0377-9017 |
| ISSN (Online): | 1573-0530 |
| Published Online: | 30 October 2004 |
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