Embedded trapped modes for water waves in an infinite channel

Authors

  • M. I. Romero Rodríguez Facultad de Ciencias Básicas y Aplicadas, Universidad Militar Nueva Granada, Cajicá, Cundinamarca, Colombia

DOI:

https://doi.org/10.3842/umzh.v77i9.8874

Keywords:

Trapped modes, water waves

Abstract

UDC 517.9

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.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 77, No. 9, 2025.

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Published

06.11.2025

Issue

Vol. 77 No. 9 (2025)

Section

Research articles

License

Copyright (c) 2025 M. I. Romero Rodríguez

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Rodríguez, M. I. Romero. “Embedded Trapped Modes for Water Waves in an Infinite Channel”. Ukrains’kyi Matematychnyi Zhurnal, vol. 77, no. 9, Nov. 2025, p. 594, https://doi.org/10.3842/umzh.v77i9.8874.