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Complete integrability of a hydrodynamic Navier-Stokes model of the flow in a two-dimensional incompressible ideal liquid with a free surface

We establish the complete integrability of a nonlinear dynamical system associated with the hydrodynamic Navier-Stokes equations for the flow of an ideal two-dimensional liquid with a free surface over the horizontal bottom. We show that this dynamical system is naturally connected with the nonlinea...

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Bibliographic Details
Date:	1993
Main Authors:	Samoilenko, V. G., Suyarov, U. S., Самойленко, В. Г., Суяров, У. С.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1993
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5786
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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