Reduction of multi-dimensional d'Alembert equations to two-dimensional equations: ansatzes, compatibility of the reduction conditions, reduced equations

We study conditions of reduction of multidimensional wave equations - of a system of d'Alembert and Hamilton equations. Necessary conditions for compatibility of such reduction conditions are proved. Possib\-le types of the reduced equations and ansatzes are described. We also provide a bri...

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Bibliographic Details
Date:2006
Main Authors: Yehorchenko, I., Єгорченко, І.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2006
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/385
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine