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Nonconservative Reflectionless Inverse Scattering and Soliton Solutions of an Associated Nonlinear Evolution System
http://hdl.handle.net/2261/0002005801
http://hdl.handle.net/2261/0002005801763d50b7-a064-4d45-8d78-b6ad4718da3d
名前 / ファイル | ライセンス | アクション |
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jms280405.pdf (664 KB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||||
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公開日 | 2022-10-25 | |||||||
タイトル | ||||||||
タイトル | Nonconservative Reflectionless Inverse Scattering and Soliton Solutions of an Associated Nonlinear Evolution System | |||||||
言語 | en | |||||||
言語 | ||||||||
言語 | eng | |||||||
キーワード | ||||||||
主題 | Inverse scattering theory | |||||||
言語 | en | |||||||
主題Scheme | Other | |||||||
キーワード | ||||||||
主題 | reflectionless potential | |||||||
言語 | en | |||||||
主題Scheme | Other | |||||||
キーワード | ||||||||
主題 | energy dependent Schr\"odinger equation | |||||||
言語 | en | |||||||
主題Scheme | Other | |||||||
キーワード | ||||||||
主題 | nonlinear evolution system | |||||||
言語 | en | |||||||
主題Scheme | Other | |||||||
キーワード | ||||||||
主題 | soliton solution | |||||||
言語 | en | |||||||
主題Scheme | Other | |||||||
キーワード | ||||||||
主題 | Boussinesq system | |||||||
言語 | en | |||||||
主題Scheme | Other | |||||||
資源タイプ | ||||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||||
タイプ | departmental bulletin paper | |||||||
著者 |
Kamimura, Yutaka
× Kamimura, Yutaka
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著者所属 | ||||||||
言語 | en | |||||||
著者所属 | Tokyo University of Marine Science and Technology | |||||||
抄録 | ||||||||
内容記述タイプ | Abstract | |||||||
内容記述 | A nonconservative, reflectionless inverse scattering\break problem is discussed on an energy dependent Schr\"odinger equation. A scattering transform from the potential of the equation to the reflectionless scattering data is completely characterized by a function induced from a Gelfand-Levitan-Marchenko equation, with an expression of the inverse scattering transform in terms of the function. Based upon the inverse scattering theory, we establish an inverse scattering method by which $N$-soliton solutions of a nonlinear evolution system (Boussinesq system) are constructed. | |||||||
言語 | en | |||||||
書誌情報 |
en : Journal of Mathematical Sciences The University of Tokyo 巻 28, 号 4, p. 651-712, 発行日 2021-10-05 |
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ISSN | ||||||||
収録物識別子タイプ | ISSN | |||||||
収録物識別子 | 13405705 | |||||||
書誌レコードID | ||||||||
収録物識別子タイプ | NCID | |||||||
収録物識別子 | AA11021653 | |||||||
Mathmatical Subject Classification | ||||||||
en | ||||||||
35Q53(MSC2010) | ||||||||
Mathmatical Subject Classification | ||||||||
en | ||||||||
37K10(MSC2010) | ||||||||
Mathmatical Subject Classification | ||||||||
en | ||||||||
37K40(MSC2010) | ||||||||
Mathmatical Subject Classification | ||||||||
en | ||||||||
81U40(MSC2010) | ||||||||
出版者 | ||||||||
言語 | en | |||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||||
原稿受領日 | ||||||||
2021-02-12 |