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

• Date: 2006
• Author Affiliations: І. Єгорченко
• Keywords: keywords
• 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
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

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...