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

Y. Kodama, M. Oikawa, H. Tsuji

研究成果: ジャーナルへの寄稿記事

27 引用 (Scopus)

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
42
発行部数31
DOI
出版物ステータス出版済み - 11 19 2009

Fingerprint

Kadomtsev-Petviashvili Equation
Initial value problems
Soliton Solution
Solitons
boundary value problems
Initial Value Problem
solitary waves
shallow water
Chord Diagrams
Shallow Water Waves
Tsunami
Tsunamis
water waves
Water waves
Shallow Water
Analytical Methods
Exact Solution
Asymptotic Behavior
communication
diagrams

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

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

:: Journal of Physics A: Mathematical and Theoretical, 巻 42, 番号 31, 312001, 19.11.2009.

研究成果: ジャーナルへの寄稿記事

@article{a7dd4fe932fb44aa9104e0c7f5374018,
title = "Soliton solutions of the KP equation with V-shape initial waves",
abstract = "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.",
author = "Y. Kodama and M. Oikawa and H. Tsuji",
year = "2009",
month = "11",
day = "19",
doi = "10.1088/1751-8113/42/31/312001",
language = "English",
volume = "42",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "31",

}

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 -