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...
Збережено в:
| Дата: | 1993 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Українська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1993
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5816 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | 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. |
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