Interpolating Dispersionless Integrable System
Exactly Solvable and Integrable Systems
2008-11-26 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We introduce a dispersionless integrable system which interpolates between the dispersionless Kadomtsev-Petviashvili equation and the hyper-CR equation. The interpolating system arises as a symmetry reduction of the anti--self--dual Einstein equations in (2, 2) signature by a conformal Killing vector whose self--dual derivative is null. It also arises as a special case of the Manakov-Santini integrable system. We discuss the corresponding Einstein--Weyl structures.
Keywords
Cite
@article{arxiv.0804.1234,
title = {Interpolating Dispersionless Integrable System},
author = {Maciej Dunajski},
journal= {arXiv preprint arXiv:0804.1234},
year = {2008}
}
Comments
11 pages. New title, some errors corrected, section 5 removed. Final version, to appear in J. Phys. A