論文

査読有り
2017年6月

An Approximation Method for the Scattering Data of One-Dimensional Soliton Equations under Arbitrary Rapidly Decreasing Initial Pulses

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
  • Hironobu Fujishima
  • ,
  • Tetsu Yajima

86
6
開始ページ
064003
終了ページ
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.7566/JPSJ.86.064003
出版者・発行元
PHYSICAL SOC JAPAN

We present a novel approximation method that can predict the number of solitons asymptotically appearing under arbitrary rapidly decreasing initial wave packets. The number of solitons can be estimated without integration of the original soliton equations. As an example, we take the one-dimensional nonlinear Schrdinger equation and estimate the behaviors of the scattering amplitude in detail. The results show good agreement compared with those obtained by direct numerical integration. The presented method is applicable to a wide class of one-dimensional soliton equations.

リンク情報
DOI
https://doi.org/10.7566/JPSJ.86.064003
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000402658200012&DestApp=WOS_CPL
ID情報
  • DOI : 10.7566/JPSJ.86.064003
  • ISSN : 0031-9015
  • Web of Science ID : WOS:000402658200012

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