Math @ Duke

Publications [#244261] of Xin Zhou
Papers Published
 Zhou, X, Inverse scattering transform for the time dependent Schrödinger equation with applications to the KPI equation,
Communications in Mathematical Physics, vol. 128 no. 3
(1990),
pp. 551564, ISSN 00103616 [MR91j:34138], [doi]
(last updated on 2018/08/19)
Abstract: For the directinverse scattering transform of the time dependent Schrödinger equation, rigorous results are obtained based on an opertortriangularfactorization approach. By viewing the equation as a first order operator equation, similar results as for the first order n x n matrix system are obtained. The nonlocal RiemannHilbert problem for inverse scattering is shown to have solution. © 1990 SpringerVerlag.


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