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

Yuki Kato; Makoto Okamura; Masayuki Oikawa

doi:10.1143/JPSJ.66.2675

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

Yuki Kato, Makoto Okamura, Masayuki Oikawa

Division of Earth Environment Dynamics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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 language	English
Pages (from-to)	2675-2681
Number of pages	7
Journal	journal of the physical society of japan
Volume	66
Issue number	9
DOIs	https://doi.org/10.1143/JPSJ.66.2675
Publication status	Published - Sep 1997

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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title = "Three-Dimensional Instabilities of Capillary Gravity Waves of Permanent Form near the Fourth Harmonic Resonance",

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.",

author = "Yuki Kato and Makoto Okamura and Masayuki Oikawa",

year = "1997",

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AU - Okamura, Makoto

AU - Oikawa, Masayuki

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Y1 - 1997/9

N2 - 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.

AB - 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.

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