### 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 language | English |
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Pages (from-to) | 3034-3043 |

Number of pages | 10 |

Journal | Journal of the Physical Society of Japan |

Volume | 73 |

Issue number | 11 |

DOIs | |

Publication status | Published - Nov 1 2004 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

### Cite this

*Journal of the Physical Society of Japan*,

*73*(11), 3034-3043. https://doi.org/10.1143/JPSJ.73.3034

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

Research output: Contribution to journal › Article

*Journal of the Physical Society of Japan*, vol. 73, no. 11, pp. 3034-3043. https://doi.org/10.1143/JPSJ.73.3034

}

TY - JOUR

T1 - Two-dimensional interaction of solitary waves in a modified Kadomtsev-Petviashvili equation

AU - Tsuji, Hidekazu

AU - Oikawa, Masayuki

PY - 2004/11/1

Y1 - 2004/11/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=20444387964&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=20444387964&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.73.3034

DO - 10.1143/JPSJ.73.3034

M3 - Article

AN - SCOPUS:20444387964

VL - 73

SP - 3034

EP - 3043

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 11

ER -