A perturbation scheme calculates frequencies of water waves trapped by a bed obstruction, suggesting new insights into wave behavior.
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.
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M. I. Romero Rodríguez (2026) studied this question.
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