General heavenly equation governs anti-self-dual gravity
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Publication:2999474
DOI10.1088/1751-8113/44/15/155201zbMath1215.83026arXiv1011.2479OpenAlexW2081376097MaRDI QIDQ2999474
Mikhail B. Sheftel, Andrei A. Malykh
Publication date: 13 May 2011
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1011.2479
PDEs in connection with relativity and gravitational theory (35Q75) Exact solutions to problems in general relativity and gravitational theory (83C15)
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A simple construction of recursion operators for multidimensional dispersionless integrable systems ⋮ Recursion operators and bi-Hamiltonian structure of the general heavenly equation ⋮ Anti-self-dual gravitational metrics determined by the modified heavenly equation ⋮ Symmetries, integrals and hierarchies of new (3+1)-dimensional bi-Hamiltonian systems of Monge-Ampère type
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