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Line 7: The inverse scattering problem is equivalent to a [[Riemann–Hilbert factorization]] problem, at least in the case of equations of one space dimension. This formulation can be generalized to differential operators of order greater than two and also to periodic problems. In higher space dimensions one has instead a "nonlocal" Riemann–Hilbert factorization problem (with convolution instead of multiplication) or a d-bar problem.{{sfn\|Ablowitz\|Fokas\|2003\|pp=604-620}} ==History==

Inverse scattering transform: Difference between revisions