Doubrov–Ferapontov general heavenly equation and the hyper-Kähler hierarchy

DOI10.1088/1751-8113/48/23/235202zbMath1346.83010arXiv1412.7376OpenAlexW2963285388MaRDI QIDQ5259225

L. V. Bogdanov

Publication date: 26 June 2015

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.7376

zbMATH Keywords

integrable systemsdressing methodself-dual Einstein equationheavenly equationhyper-Kähler hierarchy

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items (7)

Six-dimensional heavenly equation. Dressing scheme and the hierarchy ⋮ Integrability properties of a symmetric 4  +  4-dimensional heavenly-type equation ⋮ Recursion operators and bi-Hamiltonian structure of the general heavenly equation ⋮ Webs, Nijenhuis operators, and heavenly PDEs ⋮ On an integrable multi-dimensionally consistent 2 n  + 2 n -dimensional heavenly-type equation ⋮ Self-dual Einstein spaces and the general heavenly equation. Eigenfunctions as coordinates ⋮ Dispersionless integrable hierarchies and GL(2, ℝ) geometry

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