Geodesic
A Generalization of the Yang--Mills Equations
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Mathematical physics and applications, Tome 306 (2019), pp. 170-191

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A generalization of the Yang–Mills equations is proposed. It is shown that any solution of the Yang–Mills equations (in the Lorentz gauge) is also a solution of the new generalized equation. It is also shown that the generalized equation has solutions that do not satisfy the Yang–Mills equations.
Keywords: Yang–Mills equations, differential forms, Maxwell equations, gauge group, genforms, symmetric hyperbolic systems of equations. 
@article{TM_2019_306_a14,
     author = {N. G. Marchuk},
     title = {A {Generalization} of the {Yang--Mills} {Equations}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {170--191},
     publisher = {mathdoc},
     volume = {306},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2019_306_a14/}
}
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N. G. Marchuk. A Generalization of the Yang--Mills Equations. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Mathematical physics and applications, Tome 306 (2019), pp. 170-191. http://geodesic.mathdoc.fr/item/TM_2019_306_a14/