Publications [#244261] of Xin Zhou

Papers Published

1. 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 (March, 1990), pp. 551-564, Springer Nature, ISSN 0010-3616 [MR91j:34138], [doi]
   (last updated on 2026/01/15)

   Abstract:
   For the direct-inverse scattering transform of the time dependent Schrödinger equation, rigorous results are obtained based on an opertor-triangular-factorization 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 Riemann-Hilbert problem for inverse scattering is shown to have solution. © 1990 Springer-Verlag.