This article is cited in 4 scientific papers (total in 4 papers)
Finite-gap solutions of self-duality equations for $SU(1,1)$ and $SU(2)$ groups and their axisymmetric stationary reductions
D. A. Korotkin
Leningrad Institute of Aviation Instrumentation
An extensive new class of solutions is obtained for the $SU(1,1)$ and $SU(2)$ duality equations in terms of the Riemann $\theta$-functions for a Riemann surface depending on the dynamical variables. The dynamics in the resulting solutions is thus determined by the motion of the surface in the moduli manifold. The axisymmetric stationary case is discussed, for which the solutions reduce to solutions of the vacuum Einstein equations. In the degenerate case, the class of solutions is believed to include all known solutions of the instanton and monopole type.
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Mathematics of the USSR-Sbornik, 1991, 70:2, 355–366
MSC: Primary 81E13; Secondary 35Q20, 83C05
D. A. Korotkin, “Finite-gap solutions of self-duality equations for $SU(1,1)$ and $SU(2)$ groups and their axisymmetric stationary reductions”, Mat. Sb., 181:7 (1990), 923–933; Math. USSR-Sb., 70:2 (1991), 355–366
Citation in format AMSBIB
\paper Finite-gap solutions of self-duality equations for $SU(1,1)$ and $SU(2)$ groups and their axisymmetric stationary reductions
\jour Mat. Sb.
\jour Math. USSR-Sb.
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This publication is cited in the following articles:
Korotkin D., “Self-Dual Yang-Mills Fields and Deformations of Algebraic-Curves”, Commun. Math. Phys., 134:2 (1990), 397–412
Korotkin D., “Algebraic Geometric Solutions of Einstein Equations - Some Physical-Properties”, Commun. Math. Phys., 137:2 (1991), 383–398
D. A. Korotkin, “Self-duality equation: Monodromy matrices and algebraic curves”, Journal of Mathematical Sciences (New York), 85:1 (1997), 1684
A. I. Zenchuk, “Lower-dimensional reductions of GL(M,C) self-dual Yang Mills equation: Solutions with break of wave profiles”, J Math Phys (N Y ), 49:6 (2008), 063502
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