Multidimensional method of the inverse scattering problem and duality equations for the Yang-Mills field
Belavin A.A., Zakharov V.E.
A general method is proposed for solving nonlinear equations with arbitrary number of variables with the aid of the method of the inverse scattering problem. The method is applicable to nonlinear equations that can be obtained as the conditions for the compatibility of systems of linear equations. By way of application of the method, the most general—instanton— duality-equation solutions are obtained for Yang-Mills fields.