The Wiener–Hopf factorization of a class of 2×2 symbols including matrices of Daniele–Khrapkov type is studied. The partial indices and the factors are determined, both in the canonical and non-canonical cases. A non-linear method is used which reduces the solution of a homogeneous Riemann–Hilbert problem to a non-linear scalar equation.
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Câmara et al. (1999) studied this question.