An interpolating dispersionless integrable system
نویسندگان
چکیده
منابع مشابه
Interpolating Dispersionless Integrable System
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 integ...
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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 integ...
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A dispersionless integrable system underlying 2 + 1-dimensional hyperCR Einstein– Weyl structures is obtained as a symmetry reduction of the anti–self–dual Yang–Mills equations with the gauge group Diff(S). Two special classes of solutions are obtained from well known soliton equations by embedding SU(1, 1) in Diff(S). email [email protected] email [email protected]
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2008
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/41/31/315202