Two-Dimensional Instabilities of Weakly Nonlinear Capillary Gravity Waves of Permanent Form near the Fourth Harmonic Resonance

Yuki Kato, Makoto Okamura, Masayuki Oikawa

研究成果: Contribution to journalArticle査読

2 被引用数 (Scopus)

抄録

Three systems of weakly nonlinear envelope equations for a fundamental mode and its fourth harmonic of two-dimensional capillary gravity waves on deep water are derived. These systems are used to investigate stability of progressive periodic waves of permanent form. It is found that the permanent waves in which the fundamental mode and its fourth harmonic are of the same order are unstable. Modulational instability in which the dominant mode in the eigenfunction is near the fourth harmonic is found in the third order approximation. Furthermore, instability related to the fourth harmonic resonance is found in the fourth order approximation.

本文言語英語
ページ(範囲)2665-2674
ページ数10
ジャーナルjournal of the physical society of japan
66
9
DOI
出版ステータス出版済み - 9 1997

All Science Journal Classification (ASJC) codes

  • 物理学および天文学(全般)

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