Integrability properties of a symmetric 4 + 4-dimensional heavenly-type equation

DOI10.1088/1751-8121/ab2f5eOpenAlexW2943072069WikidataQ127555200 ScholiaQ127555200MaRDI QIDQ5058358

B. G. Konopelchenko, L. V. Bogdanov

Publication date: 20 December 2022

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

Full work available at URL: https://arxiv.org/abs/1905.00887

zbMATH Keywords

dispersionless integrable equationshyper-Kähler hierarchiesheavenly type equations

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• On the \(\overline{\delta}\)-dressing method applicable to heavenly equation
• On the integrability of symplectic Monge-Ampère equations
• A class of multidimensional integrable hierarchies and their reductions
• A construction of hyper-Kähler metrics
• Six-dimensional heavenly equation. Dressing scheme and the hierarchy
• Self-dual Einstein spaces via a permutability theorem for the Tzitzeica equation.
• An infinite number of hidden variables in hyper-Kähler metrics
• On an integrable multi-dimensionally consistent 2 n  + 2 n -dimensional heavenly-type equation
• Doubrov–Ferapontov general heavenly equation and the hyper-Kähler hierarchy
• Linearly degenerate hierarchies of quasiclassical SDYM type
• Dunajski generalization of the second heavenly equation: dressing method and the hierarchy

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