Oblique interactions of weakly nonlinear long waves in dispersive systems

Masayuki Oikawa, Hidekazu Tsuji

研究成果: Contribution to journalArticle査読

17 被引用数 (Scopus)

抄録

Studies on the oblique interactions of weakly nonlinear long waves in dispersive systems are surveyed. We focus mainly our concentration on the two-dimensional interaction between solitary waves. Two-dimensional Benjamin-Ono (2DBO) equation, modified Kadomtsev-Petviashvili (MKP) equation and extended Kadomtsev-Petviashvili (EKP) equation as well as the Kadomtsev-Petviashvili (KP) equation are treated. It turns out that a large-amplitude wave can be generated due to the oblique interaction of two identical solitary waves in the 2DBO and the MKP equations as well as in the KP-II equation. Recent studies on exact solutions of the KP equation are also surveyed briefly.

本文言語英語
ページ(範囲)868-898
ページ数31
ジャーナルFluid Dynamics Research
38
12
DOI
出版ステータス出版済み - 12 1 2006
外部発表はい

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Fluid Flow and Transfer Processes

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