2 papers
nlin.PS2026
Stability and instability analysis of resonance-induced nonlinear bound states
Jackson C. Turner, Michael I. Weinstein
We study the focusing one-dimensional cubic nonlinear Schrödinger / Gross--Pitaevskii equation (NLS-GP), where the potential of the underlying linear Schrödinger operator, $H_V=-\p…
math-ph2025
Resonance-induced nonlinear bound states
Jackson C. Turner, Michael I. Weinstein
We study nonlinear bound states -- time-harmonic and spatially decaying () solutions -- of the nonlinear Schrödinger / Gross--Pitaevskii equations (NLS/GP) with a compactly su…