### 抄録

We consider the initial value problems of the Kadomtsev-Petviashvili (KP) equation for symmetric V-shape initial waves consisting of two semi-infinite line solitons with the same amplitude. Those are particularly important for studies of large amplitude waves such as tsunami in shallow water. Numerical simulations show that the solutions of the initial value problem approach asymptotically to certain exact solutions of the KP equation found recently in [1]. We then use a chord diagram to explain the asymptotic result. This provides an analytical method to study asymptotic behavior for the initial value problem of the KP equation. We also demonstrate a real experiment of shallow water waves which may represent the solution discussed in this communication.

元の言語 | 英語 |
---|---|

記事番号 | 312001 |

ジャーナル | Journal of Physics A: Mathematical and Theoretical |

巻 | 42 |

発行部数 | 31 |

DOI | |

出版物ステータス | 出版済み - 11 19 2009 |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Statistics and Probability
- Modelling and Simulation
- Mathematical Physics
- Physics and Astronomy(all)

### これを引用

*Journal of Physics A: Mathematical and Theoretical*,

*42*(31), [312001]. https://doi.org/10.1088/1751-8113/42/31/312001

**Soliton solutions of the KP equation with V-shape initial waves.** / Kodama, Y.; Oikawa, M.; Tsuji, H.

研究成果: ジャーナルへの寄稿 › 記事

*Journal of Physics A: Mathematical and Theoretical*, 巻. 42, 番号 31, 312001. https://doi.org/10.1088/1751-8113/42/31/312001

}

TY - JOUR

T1 - Soliton solutions of the KP equation with V-shape initial waves

AU - Kodama, Y.

AU - Oikawa, M.

AU - Tsuji, H.

PY - 2009/11/19

Y1 - 2009/11/19

N2 - We consider the initial value problems of the Kadomtsev-Petviashvili (KP) equation for symmetric V-shape initial waves consisting of two semi-infinite line solitons with the same amplitude. Those are particularly important for studies of large amplitude waves such as tsunami in shallow water. Numerical simulations show that the solutions of the initial value problem approach asymptotically to certain exact solutions of the KP equation found recently in [1]. We then use a chord diagram to explain the asymptotic result. This provides an analytical method to study asymptotic behavior for the initial value problem of the KP equation. We also demonstrate a real experiment of shallow water waves which may represent the solution discussed in this communication.

AB - We consider the initial value problems of the Kadomtsev-Petviashvili (KP) equation for symmetric V-shape initial waves consisting of two semi-infinite line solitons with the same amplitude. Those are particularly important for studies of large amplitude waves such as tsunami in shallow water. Numerical simulations show that the solutions of the initial value problem approach asymptotically to certain exact solutions of the KP equation found recently in [1]. We then use a chord diagram to explain the asymptotic result. This provides an analytical method to study asymptotic behavior for the initial value problem of the KP equation. We also demonstrate a real experiment of shallow water waves which may represent the solution discussed in this communication.

UR - http://www.scopus.com/inward/record.url?scp=70449480366&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70449480366&partnerID=8YFLogxK

U2 - 10.1088/1751-8113/42/31/312001

DO - 10.1088/1751-8113/42/31/312001

M3 - Article

AN - SCOPUS:70449480366

VL - 42

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 31

M1 - 312001

ER -