A quadratic completely integrated Burgers-type nonlinear model: conservation laws and Poisson structures

UDC 517.9 We study the complete integrability of a Burgers-type nonlinear quadratic dynamical system on a functional manifold. For this system, we prove the existence of an infinite hierarchy of functionally independent and involutive conservation laws and determine a compatible pair of Poisso...

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Bibliographic Details
Date:2025
Main Authors: Kokovska, Ya., Prytula, M., Коковська, Ярина, Притула, Микола
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2025
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/8670
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal