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Yang-Mills Equation


The anti-self-dual Yang-Mills equation is the system of partial differential equations

 partial/(partialx^__1)(Omega^(-1)(partialOmega)/(partialx_1))+partial/(partialx^__2)(Omega^(-1)(partialOmega)/(partialx_2))=0.

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References

Ablowitz, M. J.; Costa, D. G.; and Tenenblat, K. "Solutions of Multidimensional Extensions of the Anti-Self-Dual Yang-Mills Equation." Stud. Appl. Math. 77, 37-46 1987.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 139, 1997.

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Yang-Mills Equation

Cite this as:

Weisstein, Eric W. "Yang-Mills Equation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Yang-MillsEquation.html

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