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arXiv · 0804.1234

Interpolating Dispersionless Integrable System

Maciej Dunajski
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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.

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Maciej Dunajski. 2008-06-07. Interpolating Dispersionless Integrable System. https://doi.org/10.1088/1751-8113/41/31/315202

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