Description of the Complete Integrability of the SU(2) and SU(3) Self-Dual Yang-Mills Source-Free Field Equations System and Further Discussions

LI Fu-Bin

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2024年10月30日

Chinese Physics C> 1992, Vol. 16> Issue(5) : 408-413

Description of the Complete Integrability of the SU(2) and SU(3) Self-Dual Yang-Mills Source-Free Field Equations System and Further Discussions

LI Fu-Bin ^,

The Mathematical-Mechanical Department,China University of Mining Technology,Xuzhou 221008

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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 a conjecture on the complete integrability of systems by the inverse scattering method is formulated.

References

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LI Fu-Bin. Description of the Complete Integrability of the SU(2) and SU(3) Self-Dual Yang-Mills Source-Free Field Equations System and Further Discussions[J]. Chinese Physics C, 1992, 16(5): 408-413.

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Description of the Complete Integrability of the SU(2) and SU(3) Self-Dual Yang-Mills Source-Free Field Equations System and Further Discussions

LI Fu-Bin ^,

Corresponding author: LI Fu-Bin,

The Mathematical-Mechanical Department,China University of Mining Technology,Xuzhou 221008

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1992-05-05

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 a conjecture on the complete integrability of systems by the inverse scattering method is formulated.