Twistor Theory of the Airy Equation
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Twistor Theory of the Airy Equation
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| Creator |
Cole, M.
Dunajski, M. |
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| Description |
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-Kähler metric in its conformal class which we construct explicitly.
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| Date |
2019-02-11T16:05:53Z
2019-02-11T16:05:53Z 2014 |
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| Type |
Article
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| Identifier |
Twistor Theory of the Airy Equation / M. Cole, M. Dunajski // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 14 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 32L25; 34M56 DOI:10.3842/SIGMA.2014.037 http://dspace.nbuv.gov.ua/handle/123456789/146810 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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