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G. Biondini

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Open access 2026

Spectral theory for periodic self-adjoint Dirac operators and inverse scattering transform for the defocusing non-linear Schrödinger equation with periodic boundary conditions

The inverse spectral theory for a self-adjoint one-dimensional Dirac operator associated periodic potentials is formulated via a Riemann–Hilbert problem (RHP) approach. The resulting formalism is also used to solve the initial value problem for the non-linear Schrödinger (NLS) equation. A uniqueness theorem for the s...

G. Biondini, Ze-Chuan Zhang · 0 citations

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