Analysis of complete integrability of a system inverse to the nonlinear Benney-Kaup system
We study a system inverse to the nonlinear dynamical Benney-Kaup system. For this system, we prove the existence of an infinite hierarchy of functionally independent and involution conservation laws; a pair of implicative and Noetherian operators is constructed which enables one to write the system...
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| Date: | 1993 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1993
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5816 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512037433507840 |
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| author | Drobotskaya, I. S. Дробоцька, I. C. |
| author_facet | Drobotskaya, I. S. Дробоцька, I. C. |
| author_sort | Drobotskaya, I. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:18:35Z |
| description | We study a system inverse to the nonlinear dynamical Benney-Kaup system. For this system, we prove the existence of an infinite hierarchy of functionally independent and involution conservation laws; a pair of implicative and Noetherian operators is constructed which enables one to write the system in a bi-Hamiltonian form; we also present the explicit form of the Lax operator. |
| first_indexed | 2026-03-24T03:22:25Z |
| format | Article |
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| id | umjimathkievua-article-5816 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:22:25Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/23/6eedd3135f8035f633f3acb2d9781b23.pdf |
| spelling | umjimathkievua-article-58162020-03-19T09:18:35Z Analysis of complete integrability of a system inverse to the nonlinear Benney-Kaup system Аналіз повної інтегровності системи, інверсної до нелінійної системи Бенні - Кауп Drobotskaya, I. S. Дробоцька, I. C. We study a system inverse to the nonlinear dynamical Benney-Kaup system. For this system, we prove the existence of an infinite hierarchy of functionally independent and involution conservation laws; a pair of implicative and Noetherian operators is constructed which enables one to write the system in a bi-Hamiltonian form; we also present the explicit form of the Lax operator. Досліджується система, інверсна до нелінійної динамічної системи Бенні — Каупа. Для цієї системи доведено існування нескінченної ієрархії функціонально незалежних та інволютивних законів збереження, знайдені пара імплектичних та нетерових операторів, яка дозволяє записати систему у бігамільтоновому вигляді, а також явний вигляд оператора Лакса. Institute of Mathematics, NAS of Ukraine 1993-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5816 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 3 (1993); 353–360 Український математичний журнал; Том 45 № 3 (1993); 353–360 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5816/8315 https://umj.imath.kiev.ua/index.php/umj/article/view/5816/8316 Copyright (c) 1993 Drobotskaya I. S. |
| spellingShingle | Drobotskaya, I. S. Дробоцька, I. C. Analysis of complete integrability of a system inverse to the nonlinear Benney-Kaup system |
| title | Analysis of complete integrability of a system inverse to the nonlinear Benney-Kaup system |
| title_alt | Аналіз повної інтегровності системи, інверсної до нелінійної системи Бенні - Кауп |
| title_full | Analysis of complete integrability of a system inverse to the nonlinear Benney-Kaup system |
| title_fullStr | Analysis of complete integrability of a system inverse to the nonlinear Benney-Kaup system |
| title_full_unstemmed | Analysis of complete integrability of a system inverse to the nonlinear Benney-Kaup system |
| title_short | Analysis of complete integrability of a system inverse to the nonlinear Benney-Kaup system |
| title_sort | analysis of complete integrability of a system inverse to the nonlinear benney-kaup system |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5816 |
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