From 2D integrable systems to self-dual gravity

DOI10.1088/0305-4470/31/28/015zbMath0948.83054arXivsolv-int/9809006OpenAlexW2110092859MaRDI QIDQ3836046

N. M. J. Woodhouse, Maciej Dunajski, Lionel J. Mason

Publication date: 6 December 1999

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

Full work available at URL: https://arxiv.org/abs/solv-int/9809006

zbMATH Keywords

self-dual Yang-Mills equationsself-dual Einstein vacuum equationstwo-dimensional (2D) integrable systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Analogues of general relativity in lower dimensions (83C80) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (6)

Hyper-complex four-manifolds from the Tzitzéica equation ⋮ Hydrodynamic reductions of multidimensional dispersionless PDEs: The test for integrability ⋮ Self-dual gravity via Hitchin’s equations ⋮ A dispersionless integrable system associated to \(\text{Diff}(S^1)\) gauge theory ⋮ On the \(\overline{\delta}\)-dressing method applicable to heavenly equation ⋮ New heavenly double copies

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