The dispersive self-dual Einstein equations and the Toda Lattice
نویسنده
چکیده
The Boyer-Finley equation, or SU(∞)-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 sdiff(Σ) used in the study of the undeformed, or dispersionless, equations.
منابع مشابه
/ 96 06 10 1 v 1 1 7 Ju n 19 96 The dispersive self - dual Einstein equations and the Toda Lattice
The Boyer-Finley equation, or SU (∞)-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 i...
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