The Moyal bracket and the dispersionless limit of the KP hierarchy

Strachan, I.A.B. (1995) The Moyal bracket and the dispersionless limit of the KP hierarchy. Journal of Physics A: Mathematical and General, 28(7), pp. 1967-1975. (doi: 10.1088/0305-4470/28/7/018)

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A new Lax equation is introduced for the KP hierarchy which avoids the use of pseudo-differential operators, as used in the Sate approach. This Lax equation is closer to that used in the study of the dispersionless KP hierarchy, and is obtained by replacing the Poisson bracket with the Moyal bracket. The dispersionless limit, under which the Moyal bracket collapses to the Poisson bracket, is particularly simple.

Item Type:Articles
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 Physics A: Mathematical and General
Publisher:IOP Publishing
ISSN (Online):1361-6447

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