Inverse spectral theory for the periodic self-adjoint Zakharov-Shabat and IST for the defocusing NLS equation with periodic BCs.

作者:发布时间:2024-09-13浏览次数:10

报告人:张泽川 (SISSA)
报告时间:2024/09/11 14:00-15:00
报告地点:广A214
报告摘要:The inverse spectral theory for a self-adjoint one-dimensional Dirac operator associated periodic potentials is formulated via a Riemann-Hilbert problem approach. The resulting formalism is also used to solve the initial value problem for the nonlinear Schrödinger (NLS) equation. A uniqueness theorem for the solutions of the Riemann-Hilbert problem is established, which provides a new method for obtaining the potential from the spectral data. Two additional, scalar Riemann-Hilbert problems are a
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