On invariant solutions of some five-dimensional d'Alembert equations (Q2808464)

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scientific article; zbMATH DE number 6584036
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On invariant solutions of some five-dimensional d'Alembert equations
scientific article; zbMATH DE number 6584036

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    23 May 2016
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    Poincaré group \(P(1,4)\)
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    five-dimensional d'Alembert equations
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    On invariant solutions of some five-dimensional d'Alembert equations (English)
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    In the paper the invariants of nonconjugate subgroups of the Poincaré group \(P(1,4)\) (conjugation is considered with respect to the group \(P(1,4)\)) are used to construct ansatzes which reduce some linear and nonlinear five-dimensional d'Alembert equations to ordinary differential equations. In view of solutions of the reduced equations, invariant solutions for the five-dimensional d'Alembert equations are found.
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