Oblique interactions of weakly nonlinear long waves in dispersive systems

Masayuki Oikawa, Hidekazu Tsuji

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)868-898
Number of pages31
JournalFluid Dynamics Research
Volume38
Issue number12
DOIs
Publication statusPublished - Dec 1 2006

All Science Journal Classification (ASJC) codes

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

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