Generalized Dicke model as an integrable dynamical system inverse to the nonlinear Schrödinger equation
We prove that a dynamical system obtained by the space-time inversion of the nonlinear Schrödinger equation is equivalent to a generalized Dicke model. We study the complete Liouville integrability of the obtained dynamical system.
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| Datum: | 1995 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1995
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5393 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511624695119872 |
|---|---|
| author | Samuliak, R. V. Самуляк, Р. В. |
| author_facet | Samuliak, R. V. Самуляк, Р. В. |
| author_sort | Samuliak, R. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T08:58:17Z |
| description | We prove that a dynamical system obtained by the space-time inversion of the nonlinear Schrödinger equation is equivalent to a generalized Dicke model. We study the complete Liouville integrability of the obtained dynamical system. |
| first_indexed | 2026-03-24T03:15:51Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5393 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:15:51Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/32/f30da0223fd5c6067fb588d908a35f32.pdf |
| spelling | umjimathkievua-article-53932020-03-19T08:58:17Z Generalized Dicke model as an integrable dynamical system inverse to the nonlinear Schrödinger equation Узагальнена модель Дікке як інверсна нелінійному рівнянню Шредінгера інтегровна динамічна система Samuliak, R. V. Самуляк, Р. В. We prove that a dynamical system obtained by the space-time inversion of the nonlinear Schrödinger equation is equivalent to a generalized Dicke model. We study the complete Liouville integrability of the obtained dynamical system. Показано, що динамічна система, отримана при просторово-часовій інверсії нелінійного рівняння Шредінгера, є еквівалентною узагальненій моделі Дікке та досліджена її повна інтегровність за Ліувіллем. Institute of Mathematics, NAS of Ukraine 1995-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5393 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 1 (1995); 126–128 Український математичний журнал; Том 47 № 1 (1995); 126–128 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5393/7476 https://umj.imath.kiev.ua/index.php/umj/article/view/5393/7477 Copyright (c) 1995 Samuliak R. V. |
| spellingShingle | Samuliak, R. V. Самуляк, Р. В. Generalized Dicke model as an integrable dynamical system inverse to the nonlinear Schrödinger equation |
| title | Generalized Dicke model as an integrable dynamical system inverse to the nonlinear Schrödinger equation |
| title_alt | Узагальнена модель Дікке як інверсна нелінійному рівнянню Шредінгера інтегровна динамічна система |
| title_full | Generalized Dicke model as an integrable dynamical system inverse to the nonlinear Schrödinger equation |
| title_fullStr | Generalized Dicke model as an integrable dynamical system inverse to the nonlinear Schrödinger equation |
| title_full_unstemmed | Generalized Dicke model as an integrable dynamical system inverse to the nonlinear Schrödinger equation |
| title_short | Generalized Dicke model as an integrable dynamical system inverse to the nonlinear Schrödinger equation |
| title_sort | generalized dicke model as an integrable dynamical system inverse to the nonlinear schrödinger equation |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5393 |
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