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hep-th1998
The Inverse Spectral Theory for the Ward Equation and for the 2+1 Chiral Model
A. S. Fokas, T. A. Ioannidou
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 b…
hep-th1995
Nonlinear Integrable Equations and Nonlinear Fourier Transform
A. S. Fokas, I. M. Gelfand, M. V. Zyskin
In the paper we study nonlocal functionals whose kernels are homogeneous generalized functions. We also use such functionals to solve the Korteweg-de Vries , the nonlinear Schrödin…