Two-dimensional interactions of solitons in a two-layer fluid of finite depth

Hidekazu Tsuji, Masayuki Oikawa

研究成果: Contribution to journalArticle査読

4 被引用数 (Scopus)

抄録

Two-dimensional (2D) interactions of two interfacial solitons in a two-layer fluid of finite depth are investigated under the assumption of a small but finite amplitude. When the angle v between the wave normals of two solitons is not small, it is shown by a perturbation method that in the lowest order of approximation the solution is a superposition of two intermediate long wave (ILW) solitons and in the next order of approximation the effect of the interaction appears as position phase shifts and as an increase in amplitude at the interaction center of two solitons. When v is small, it is shown that the interaction is described approximately by a nonlinear integro-partial differential equation that we call the two-dimensional ILW (2DILW) equation. By solving it numerically for a V-shaped initial wave that is an appropriate initial value for the oblique reflection of a soliton due to a rigid wall, it is shown that for a relatively large angle of incidence vi the reflection is regular, but for a relatively small vi the reflection is not regular and a new wave called stem is generated. The results are also compared with those of the Kadomtsev-Petviashvili (KP) equation and of the two-dimensional Benjamin-Ono (2DBO) equation.

本文言語英語
論文番号065506
ジャーナルFluid Dynamics Research
42
6
DOI
出版ステータス出版済み - 12 1 2010
外部発表はい

All Science Journal Classification (ASJC) codes

  • 機械工学
  • 物理学および天文学(全般)
  • 流体および伝熱

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