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arXiv · 2303.06312

On recovering the nonlinearity for generalized higher-order Schr\"odinger equations

Zachary Lee·Xueying Yu
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Abstract

In this note, we generalize the nonlinearity-recovery result in [7] for classical cubic nonlinear Schr\"odinger equations to higher-order Schr\"odinger equations with a more general nonlinearity. More precisely, we consider a spatially-localized nonlinear higher-order Schr\"odinger equation and recover the spatially-localized coefficient by the solutions with data given by small-amplitude wave packets.

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Zachary Lee, Xueying Yu. 2023-03-11. On recovering the nonlinearity for generalized higher-order Schr\"odinger equations. https://doi.org/10.3934/ipi.2023039

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