Einstein-Weyl spaces and dispersionless Kadomtsev-Petviashvili equation from Painlevé I and II

DOI10.1016/S0375-9601(02)01258-6zbMath0999.35083arXivnlin/0204043MaRDI QIDQ1847723

Maciej Dunajski, Paul Tod

Publication date: 23 October 2002

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0204043

zbMATH Keywords

hodograph transformationNahm equationisomonodromy problem

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Local differential geometry of Hermitian and Kählerian structures (53B35)

Related Items

The quadric ansatz for the mn-dispersionless KP equation, and supersymmetric Einstein–Weyl spaces ⋮ Second-order PDEs in 3D with Einstein-Weyl conformal structure ⋮ The Cauchy problem for the Pavlov equation ⋮ Geometric realizations, curvature decompositions, and Weyl manifolds ⋮ A quadric ansatz method for a certain class of second order PDEs ⋮ The Cauchy problem for the Pavlov equation with large data ⋮ The twistor theory of Whitham hierarchy ⋮ (para)-Kähler Weyl Structures ⋮ Null Kähler geometry and isomonodromic deformations

Cites Work

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• Sur une classe d'espaces de Weyl
• Einstein-Weyl geometry, the dKP equation and twistor theory