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arxiv: 1310.8365 · v2 · pith:RUJKW7SOnew · submitted 2013-10-31 · 🌊 nlin.SI · math.AP

The Pseudospectrum of the Zakharov-Shabat System

classification 🌊 nlin.SI math.AP
keywords pseudospectrumsystemzakharov-shabatcomputationdefinedeigenvaluesnon-selfadjointnumerical
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We study the pseudospectrum of the non-selfadjoint Zakharov-Shabat system in the semiclassical regime. The pseudospectrum may be defined as the union of the spectra of perturbations of the Zakharov-Shabat system, thus it is relevant to the numerical computation of true eigenvalues.

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