Interpolating Dispersionless Integrable System

Details Interpolating Dispersionless Integrable System Interpolating Dispersionless Integrable System

2008-04-08

arxiv.org/abs/0804.1234v2

J.Phys.A41:315202,2008

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages. New title, some errors corrected, section 5 removed. Final version, to appear in J. Phys. A

Scientific paper

10.1088/1751-8113/41/31/315202

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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