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
- ,
- 巻
- 86
- 号
- 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
- ID情報
-
- DOI : 10.7566/JPSJ.86.064003
- ISSN : 0031-9015
- Web of Science ID : WOS:000402658200012