Communications in Mathematical Physics

, Volume 128, Issue 3, pp 551–564 | Cite as

Inverse scattering transform for the time dependent Schrödinger equation with applications to the KPI equation

  • Xin Zhou
Article

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 ordern x n matrix system are obtained. The nonlocal Riemann-Hilbert problem for inverse scattering is shown to have solution.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 

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References

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Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • Xin Zhou
    • 1
  1. 1.Department of MathematicsUniversity of WisconsinMadisonUSA

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