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math.AP 1

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Nonlinear discrete Schr\"odinger equations with a point defect

math.AP · 2024-12-13 · unverdicted · novelty 6.0

Proves existence of spatially exponentially localized time-periodic ground states in d-dimensional discrete NLS with delta potential and power nonlinearity, with explicit lower excitation thresholds for focusing cases and upper thresholds for defocusing cases, plus scattering below threshold.

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  • Nonlinear discrete Schr\"odinger equations with a point defect math.AP · 2024-12-13 · unverdicted · none · ref 41

    Proves existence of spatially exponentially localized time-periodic ground states in d-dimensional discrete NLS with delta potential and power nonlinearity, with explicit lower excitation thresholds for focusing cases and upper thresholds for defocusing cases, plus scattering below threshold.