Twistor correspondences for the soliton hierarchies - INSPIRE

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Twistor correspondences for the soliton hierarchies

L.J. Mason
(
- Oxford U.
)
,
G.A.J. Sparling
(
- Pittsburgh U.
)

1992

29 pages

Published in:

J.Geom.Phys. 8 (1992) 243-271

DOI:

10.1016/0393-0440(92)90051-2

View in:

AMS MathSciNet

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Abstract: (Elsevier)

In this article we propose a new overview on the theory of integrable systems based on symmetry reduction of the anti-self-dual Yang—Mills equations and its twistor correspondence. First, the non-linear Schrödinger (NS) equations and the Korteweg de Vries (KdV) equations are shown to be symmetry reductions of the anti-self-dual Yang—Mills (ASDYM) equation with real forms of SL (2, C ) as gauge groups.

twistors
soliton hierarchies
Yang-Mills equations
32L25
81T13
gauge field theory: Yang-Mills
duality
integrability
twistor
field equations: soliton

References(18)

Figures(0)

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