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- W2104749511 abstract "We demonstrate how the complex integral formula for the Airy functions arises from Penrose's twistor contour integral formula. We then use the Lax formulation of the isomonodromy problem with one irregular singularity of order four to show that the Airy equation arises from the anti-self-duality equations for conformal structures of neutral signature invariant under the isometric action of the Bianchi II group. This conformal structure admits a null-Kahler metric in its conformal class which we construct explicitly." @default.
- W2104749511 created "2016-06-24" @default.
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- W2104749511 date "2014-03-29" @default.
- W2104749511 modified "2023-10-01" @default.
- W2104749511 title "Twistor Theory of the Airy Equation" @default.
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- W2104749511 doi "https://doi.org/10.3842/sigma.2014.037" @default.
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