Reduction of multidimensional non-linear d'Alembert equations to two-dimensional equations: ansatzes, compatibility of reduction conditions

Publication date: 1 November 2006

Abstract: We study conditions of reduction of multidimensional wave equations - a system of d'Alembert and Hamilton equations. Necessary conditions for compatibility of such reduction conditions are proved. Possible types of the reduced equations and ansatzes are described. We also provide a brief review of the literature with respect to compatibility of the system of d'Alembert and Hamilton equations and construction of solutions for the nonlinear d'Alembert equation.

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Other special methods applied to PDEs (35A25)

This page was built for publication: Reduction of multidimensional non-linear d'Alembert equations to two-dimensional equations: ansatzes, compatibility of reduction conditions

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6469814)