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Resonance Effects in the Interaction of NLS Solitons with Potential Wells

K. T. Stoychev·M. T. Primatarowa·R. S. Kamburova
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Abstract

The interaction of nonlinear Schrödinger (NLS) solitons with potential wells with variable shapes is investigated numerically. For fixed initial velocities below the threshold for transmission, the outcome pattern as a function of the width of the potential yields periodically repeating regions of trapping, transmission and reflection. The observed effects are explained by an excitation and a following resonant deexcitation of amplitude (shape) oscillations of the solitons at the boundaries of the well, associated with radiation modes.

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K. T. Stoychev, M. T. Primatarowa, R. S. Kamburova. 2003-10-14. Resonance Effects in the Interaction of NLS Solitons with Potential Wells. https://arxiv.org/abs/nlin/0310016

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