Cj. Papachristou et Bk. Harrison, LAX PAIR, CONSERVED-CURRENTS, AND HIDDEN SYMMETRY TRANSFORMATION FOR THE ERNST EQUATION, Physics letters. A, 190(5-6), 1994, pp. 407-411
The matrix Ernst equation (a reduced form of the self-dual Yang-Mills
equation) is written as the compatibility condition for solution of a
linear ''inverse scattering'' system. This system is used to construct
infinite sequences of nonlocal conserved charges, as well as an infin
itesimal hidden symmetry transformation, for the Ernst equation.