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Generalized AKNS Class of the Nonlinear Evolution Equations and Its Trace Formula and Dynamical structures
https://doi.org/10.15099/00004359
https://doi.org/10.15099/0000435980891b74-4784-423a-9899-2e00c59f83b7
名前 / ファイル | ライセンス | アクション |
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Kokiyo_38_01_Page088to104.pdf (582.7 kB)
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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 | Generalized AKNS Class of the Nonlinear Evolution Equations and Its Trace Formula and Dynamical structures | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | AKNSクラス | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | AKNS Class | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 非線形発展方程式 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Nonlinear Evolution Equations | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | トレース公式 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Trace Formula | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 力学的な構造 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Dynamical structures | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | AKNS | |||||
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 | 10.15099/00004359 | |||||
ID登録タイプ | JaLC | |||||
著者 |
川田, 勉
× 川田, 勉 |
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著者別名 | ||||||
姓名 | KAWATA, Tsutomu | |||||
その他(別言語等)のタイトル | ||||||
その他のタイトル | AKNSクラスに属する一般化された非線形発展方程式とそのトレース公式及び力学的な構造 | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | The generalized theory belonging to the AKNS class of nonlinear evolution equations is reviewed and some topics relating with dynamical natures are discussed rigorously. The general solvable class with a closed formula is given from directly solving its integrable conditions and from analysis of squared eigenstates. Conservbation laws are derived by using both trace method and squared eigenvalue problem. We naturally define a canonical equation of course equivalent to the generalized equation and the corresponding Poisson bracket. Each constant of motions are prooved to commute each other, then we show an existense of infinitesimal cannonical transformation which allows the system an infinite dimensional abelian symmetry corresponding to the "half" Kac-Moody Lie algebra. This representation directly connects to the infinite conservations of integrable nonlinear systems because of using a canonical frame. | |||||
引用 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 富山大学工学部紀要,38 | |||||
書誌情報 |
富山大学工学部紀要 巻 38, p. 88-104, 発行日 1987-03 |
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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 |