The Inverse Spectral Theory for the Ward Equation and for the 2+1 Chiral Model
A. S. Fokas, T. A. Ioannidou
Abstract
We 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× 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.
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