A geometric approach of the generalized d'Alembert equation (Q1963883)

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scientific article; zbMATH DE number 1398399
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A geometric approach of the generalized d'Alembert equation
scientific article; zbMATH DE number 1398399

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    A geometric approach of the generalized d'Alembert equation (English)
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    9 May 2000
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    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 \(f_1(x_2,\dots,x_n)\cdots\) \(f_n(x_1,\dots,x_{n-1})\).
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    nonclassical solutions
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