SELF-DUALITY AND GENERALIZED KdV FLOWS
1991 ◽
Vol 06
(05)
◽
pp. 399-408
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Keyword(s):
The Self
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We obtain the (N+1)-th flow of the generalized (N–1)-KdV hierarchy from self-dual Yang-Mills equations with gauge group SL(N) and space-time signature (2, 2). The dimensional reduction is performed by using a pair of orthogonal Killing vector fields (one time-like and one null) and we generalize previous results by Mason and Sparling to N≥2. We illustrate our method with explicit examples and determine the form of the self-dual solutions for N=2, 3, 4. Applications of this formalism and its possible generalizations are also discussed briefly.
Keyword(s):
Keyword(s):
2019 ◽
Vol 16
(11)
◽
pp. 1950180
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2008 ◽
Vol 23
(05)
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pp. 749-759
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2021 ◽
Vol 13(62)
(2)
◽
pp. 451-462