I A B Strachan 1996 J. Phys. A: Math. Gen. 29 6117 doi:10.1088/0305-4470/29/18/036
The dispersive self-dual Einstein equations and the Toda lattice
I A B Strachan
Show affiliationsThe Boyer - Finley equation, or 
Toda equation is both a reduction of the self-dual Einstein equations and the dispersionless limit of the 2D Toda lattice equation. This suggests that there should be a dispersive version of the self-dual Einstein equation which both contains the Toda lattice equation and whose dispersionless limit is the familiar self-dual Einstein equation. Such a system is studied in this paper. The results are achieved by using a deformation, based on an associative 
-product, of the algebra 
used in the study of the undeformed, or dispersionless, equations.
- PACS
- MSC
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83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
- Subjects
- Dates
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Issue 18 (21 September 1996)
Received 5 June 1996
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The dispersive self-dual Einstein equations and the Toda lattice
I A B Strachan 1996 J. Phys. A: Math. Gen. 29 6117
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