A geometric approach of the generalized d'Alembert equation
type: Item
instance of: scholarly article
title: A geometric approach of the generalized d'Alembert equation
zbMATH Open document ID: 0936.35011
DOI: 10.1016/S0377-0427(99)00247-2
author: Agostino Prástaro
author: Themistocles M. Rassias
published in: Journal of Computational and Applied Mathematics
publication date: 2000-05-09T00:00:00Z
review text: The authors discuss within a geometric framework the solutions of the generalized d'Alembert equation \(\partial^n \log f/\partial x_1\cdots\partial x_n=0\). The main result is that the set of solutions of this equation contains more functions than those representable by the classical formula \(f_1(x_2,\dots,x_n)\cdots\) \(f_n(x_1,\dots,x_{n-1})\).
reviewed by: Werner M. Seiler
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 35L25
Mathematics Subject Classification ID: 35C05
zbMATH DE Number: 1398399
zbMATH Keywords: nonclassical solutions
MaRDI profile type: Publication
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full work available at URL: s0377-0427(99)00247-2
OpenAlex ID: W2082091664
description: scientific article; zbMATH DE number 1398399