Edge-Layer Theory for Shallow-Water Waves over a Step--Reflection and Transmission of a Soliton

• 資料種別: 記事
• タイトル: Edge-Layer Theory for Shallow-Water Waves over a Step--Reflection and Transmission of a Soliton
• 著者・編者: Nobumasa Sugimoto; Noriyuki Nakajima; Tsunehiko Kakutani
• 著者標目: Nobumasa Sugimoto; Noriyuki Nakajima; Tsunehiko Kakutani
• タイトル（掲載誌）: Journal of the Physical Society of Japan
• 巻号年月日等（掲載誌）: 56(5) 1987.05
• 掲載巻: 56
• 掲載号: 5
• 掲載ページ: p1717～1730
• 掲載年月日（W3CDTF）: 1987-05
• ISSN（掲載誌）: 0031-9015
• ISSN-L（掲載誌）: 0031-9015
• 出版事項（掲載誌）: Tokyo : Physical Society of Japan
• 出版地（国名コード）: JP
• 本文の言語コード: eng
• NDLC: ZM35
• 対象利用者: 一般
• 記事種別、記事分類: 記事分類: 物理学--力学
• 所蔵機関: 国立国会図書館
• 請求記号: Z53-A404
• 連携機関・データベース: 国立国会図書館 : 国立国会図書館雑誌記事索引; https://ndlsearch.ndl.go.jp
• 書誌ID（NDLBibID）: 3127059; http://id.ndl.go.jp/bib/3127059
• 整理区分コード: 632

• 要約等: This paper develops an ‘edge-layer’ theory for weakly nonlinear shallow-water waves propagating over a step bottom. Introducing an ‘edge-layer’ in the vicinity of the step, the matched-asymptotic expansion method is applied to establish ‘reduced’ boundary conditions relevant to Boussinesq equations in the uniform shallow-water regions extending on the outside of the ‘edge-layer’. From the matching conditions, two ‘reduced’ boundary conditions are derived which incorporate the higher-order corrections to the well-known Lamb’s conditions. On applying the conditions thus derived, a problem of reflection and transmission of a single soliton incident upon the step is discussed. It is found that for a moderate depth-ratio, Lamb’s conditions still provide correct boundary-values except the phase shift at the step.
• DOI: 10.1143/jpsj.56.1717; https://doi.org/10.1143/jpsj.56.1717
• 関連情報（URI）: http://id.ndl.go.jp/bib/3127059; https://ndlsearch.ndl.go.jp/books/R000000004-I3127059; http://journals.jps.jp/doi/pdf/10.1143/JPSJ.56.1717
• 参照: Reflection and Transmission of an Ion-Acoustic Soliton at a Step-Like Inhomogeneity.; https://cir.nii.ac.jp/crid/1390001204178518912; Reflection and Transmission of Two-Dimensional Shallow Water Solitons; https://cir.nii.ac.jp/crid/1390001204188293248; Nonlinear Refraction and Reflection of Line Soliton Due to a Discontinuity; https://cir.nii.ac.jp/crid/1390282679153541504; Simulation of Envelope Soliton Scattering in Discontinuous Media.; https://cir.nii.ac.jp/crid/1390282679158896768; Reflection and Transmission of a Shallow-Water Soliton over a Barrir; https://cir.nii.ac.jp/crid/1390282679162785792; Reflection and Transmission of a Soliton at a Plane of Density Discontinuty in a Cold Collisionless Plasma; https://cir.nii.ac.jp/crid/1390282679164135552
• 参照: The reflexion of long waves at a step; https://cir.nii.ac.jp/crid/1360292620455421696; Solitons and Bound States of the Time-Independent Schrödinger Equation; https://cir.nii.ac.jp/crid/1360574095384833536; Obliquely interacting solitary waves; https://cir.nii.ac.jp/crid/1360855568588029184; Some classical water-wave problems in varying depth; https://cir.nii.ac.jp/crid/1362262945095952640; Reflection of a shallow-water soliton. Part 2. Numerical evaluation.; https://cir.nii.ac.jp/crid/1362544418820268416; Reflection of a shallow-water soliton. Part 1. Edge layer for shallow-water waves; https://cir.nii.ac.jp/crid/1363107368947801472; Interactions of solitary waves A perturbation approach to nonlinear systems; https://cir.nii.ac.jp/crid/1390282679171270400
• 連携機関・データベース: 国立情報学研究所 : CiNii Research; https://cir.nii.ac.jp/
• 提供元機関・データベース: Japan Link Center; https://japanlinkcenter.org/top; 雑誌記事索引データベース; https://ndlsearch.ndl.go.jp; Crossref; https://www.crossref.org; CiNii Articles
• 書誌ID（NDLBibID）: 3127059; http://id.ndl.go.jp/bib/3127059
• NII論文ID: 210000093325; 110001960412; 130003739901