Three-Dimensional Instabilities of Capillary Gravity Waves of Permanent Form near the Fourth Harmonic Resonance

Yuki Kato, Makoto Okamura, Masayuki Oikawa

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Abstract

Three-dimensional instabilities of two-dimensional periodic capillary gravity waves of permanent form near the fourth harmonic resonance are investigated numerically. It is confirmed that the unstable regions appear in the neighborhood of the linear resonance curves of sum interactions associated with a fundamental mode and its fourth harmonic. No unstable regions overlap in the wave number plane of disturbances. Two regions are frequently reconnected.

Original languageEnglish
Pages (from-to)2675-2681
Number of pages7
Journaljournal of the physical society of japan
Volume66
Issue number9
DOIs
Publication statusPublished - Sep 1997

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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