Two-dimensional interaction of solitary waves in a modified Kadomtsev-Petviashvili equation

Hidekazu Tsuji, Masayuki Oikawa

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

Two-dimensional interaction of two solitary waves is investigated numerically on the basis of a Modified Kadomtsev-Petviashvili equation. Two types of interaction are dealt with; one is the interaction of two positive solitary waves of an equal amplitude and the other is that between positive and negative solitary waves of an equal amplitude. The latter turns out to be considerably different from the former. In both cases the characteristics of the interaction depend on the ratio of a parameter representing the difference of the propagation directions of two solitary waves to the amplitude of the solitary waves. It is found that a new wave of a fairly large amplitude is produced for some range of the ratio as a result of the interaction of two positive solitary waves.

Original languageEnglish
Pages (from-to)3034-3043
Number of pages10
JournalJournal of the Physical Society of Japan
Volume73
Issue number11
DOIs
Publication statusPublished - Nov 1 2004
Externally publishedYes

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solitary waves
interactions
propagation

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Two-dimensional interaction of solitary waves in a modified Kadomtsev-Petviashvili equation. / Tsuji, Hidekazu; Oikawa, Masayuki.

In: Journal of the Physical Society of Japan, Vol. 73, No. 11, 01.11.2004, p. 3034-3043.

Research output: Contribution to journalArticle

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