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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Bibliographic Details
Date:1993
Main Authors: Drobotskaya, I. S., Дробоцька, I. C.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 1993
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