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<p>We present a simple perturbation scheme for calculating the frequencies of water waves trapped by a small obstruction of the water bed. The corresponding solutions describe embedded trapped modes that are localized at the obstruction and decay at infinity. A simple formula for their frequencies is obtained.</p>

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Embedded Trapped Modes for Water Waves in an Infinite Channel

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  • 出版模式：

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  • 发表日期：

    2025年11月1日

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  • M. I. Romero Rodríguez

摘要

We present a simple perturbation scheme for calculating the frequencies of water waves trapped by a small obstruction of the water bed. The corresponding solutions describe embedded trapped modes that are localized at the obstruction and decay at infinity. A simple formula for their frequencies is obtained.