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M. Weinstein

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Preprint Oct 2026

Stability and instability analysis of resonance-induced nonlinear bound states

We study the focusing one-dimensional cubic nonlinear Schr\"odinger / Gross--Pitaevskii equation (NLS-GP), where the potential of the underlying linear Schr\"odinger operator, $H_V=-\partial_x^2+V(x)$, is compactly supported. In \cite{turner2026resonance} the authors proved that purely imaginary zeros (transmission res...

J. C. Turner, M. Weinstein · 0 citations

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