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arxiv: 1505.04455 · v1 · pith:4SNMWYMNnew · submitted 2015-05-17 · 🧮 math.AP

Semi-linearity of the non-linear Fourier transform of the defocusing NLS equation

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keywords defocusingequationfouriernon-lineartransformcirclelinearorder
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In this paper we prove that the non-linear Fourier transform of the defocusing NLS equation on the circle is linear up to terms which are one order smoother.

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