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Linear Problems and Green Function of the Derivative Nonlinear Schrodinger Equation
https://doi.org/10.15099/00004317
https://doi.org/10.15099/00004317cf4a9258-6534-4ba6-87d9-48b328faf4c0
名前 / ファイル | ライセンス | アクション |
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Kokiyo_35_01_Page084to100.pdf (1.4 MB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2012-10-05 | |||||
タイトル | ||||||
タイトル | Linear Problems and Green Function of the Derivative Nonlinear Schrodinger Equation | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 微分型非線形シュレビンガー方程式 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 線形問題 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | グリーン函数 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Derivative Nonlinear Schrodinger Equation | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Linear Problems | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Green Function | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | DNLS | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
ID登録 | ||||||
ID登録 | 10.15099/00004317 | |||||
ID登録タイプ | JaLC | |||||
著者 |
川田, 勉
× 川田, 勉× 坂井, 純一 |
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著者別名 | ||||||
姓名 | KAWATA, Tsutomu | |||||
著者別名 | ||||||
姓名 | SAKAI, Jun-ichi | |||||
その他(別言語等)のタイトル | ||||||
その他のタイトル | 微分型非線形シュレビンガー方程式の線形問題とグリーン函数 | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Linear problems associated with the derivative nonlinear Schrodinger (DNLS) equation are studied from the point of view of inverse scattering techniques. By means of the generalized inverse method we find the solution of a linear homogeneous equation corresponding to the first variational system of the DNLS equation. This solution is represented by the squared eigenfunctions of the Kaup-Newell eigenvalue problem. A Green function is defined for that linear equation and we obtain the solution of a nonhomogeneous linear equation which naturally arises in the perturbation calculations of the DNLS equation. Giving explicit formulae of Jost functions and potentials, we analyse a perturbation with such a background as pure onesoliton state. This perturbation has "stational" and "transitional" parts excited by the forced term and initial value, respectively. These both parts are classified into two components, "continuous" and "discrete" components. At the limit of large time, generally speaking, the continuous component results in a decaying oscillation, while the discrete one yields secular terms. The sufficient condition which suppressess the secuiar term is given by a simple formula. | |||||
引用 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 富山大学工学部紀要,35 | |||||
書誌情報 |
富山大学工学部紀要 巻 35, p. 84-100, 発行日 1984-03 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 03871339 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AN00175872 | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
国立国会図書館分類 | ||||||
主題Scheme | NDLC | |||||
主題 | ZM2 | |||||
出版者 | ||||||
出版者 | 富山大学工学部 | |||||
資源タイプ(DSpace) | ||||||
内容記述タイプ | Other | |||||
内容記述 | Article |