A Study on the Complete Integrability of the SU(2) and SU(3) Self-Dual Yang-Mills Source-Free Field Equation System

  • With the theory of harmonic maps and the eight-dimensional Riemannian manifold, the completely integrable SU(2) and SU(3) self-dual Yang-mills source-free field equations are described. Sixteen independent Killing vector fields are determined, two transformation groups which map solutions into solutions are constructed, and conjecture on the complete integrability of systems by the inverse scattering method is formulated.
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Li Fubin. A Study on the Complete Integrability of the SU(2) and SU(3) Self-Dual Yang-Mills Source-Free Field Equation System[J]. Chinese Physics C, 1992, 16(S2): 155-161.
Li Fubin. A Study on the Complete Integrability of the SU(2) and SU(3) Self-Dual Yang-Mills Source-Free Field Equation System[J]. Chinese Physics C, 1992, 16(S2): 155-161. shu
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Received: 1991-06-05
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    Supported by the National Natural Science Foundation of China.

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A Study on the Complete Integrability of the SU(2) and SU(3) Self-Dual Yang-Mills Source-Free Field Equation System

  • Department of Mathematics and Mechanics, China University of Mining Technology, Xuzhou, Jiangsu;CCAST(World Laboratory), Beijing, China
Fund Project:  Supported by the National Natural Science Foundation of China.

Abstract: With the theory of harmonic maps and the eight-dimensional Riemannian manifold, the completely integrable SU(2) and SU(3) self-dual Yang-mills source-free field equations are described. Sixteen independent Killing vector fields are determined, two transformation groups which map solutions into solutions are constructed, and conjecture on the complete integrability of systems by the inverse scattering method is formulated.

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