INTERNATIONAL JOURNAL OF MODERN PHYSICS A, vol.16, no.27, pp.4409-4427, 2001 (SCI-Expanded)
The inverse scattering transform technique of Belinskii-Zakharov for the integration of nonlinear sigma model equations is reviewed. N-soliton solutions of the principal chiral field equations axe given. The explicit two-complex pole soliton solutions of vacuum and electro-vacuum Ernst equations are constructed.