Local solutions of harmonical and bi-harmonical equations, Universal Field Equation and self-dual configurations of Yang--Mills fields in four dimensions

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A general method for the construction of solutions of the d'Alambertian and double d'Alambertian (harmonic and bi-harmonic) equations with local dependence of arbitrary functions upon two independent arguments is proposed. The connection between solutions of this kind and self-dual configurations of gauge fields having no singularities is established.
5 pages, LaTeX file, IHEP 94-21

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