2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/55492We solve the Cauchy problem of the Ward model in light-cone coordinates using the inverse spectral (scattering) method. In particular we show that the solution can be constructed by solving a $2\times 2$ local matrix Riemann-Hilbert problem which is uniquely defined in terms of the initial data. These results are also directly applicable to the 2+1 Chiral model.14 pages + 1 figure, LatexHigh Energy Physics - TheoryExactly Solvable and Integrable Systemstext