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Symmetry reduction and some exact solutions of a nonlinear five-dimensional wave equation

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Abstract

By using decomposable subgroups of the generalized Poincaré group P(1,4), we perform a symmetry reduction of a nonlinear five-dimensional wave equation to differential equations with a smaller number of independent variables. On the basis of solutions of the reduced equations, we construct some classes of exact solutions of the equation under consideration.

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Authors
  1. V. M. Fedorchuk
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Fedorchuk, V.M. Symmetry reduction and some exact solutions of a nonlinear five-dimensional wave equation. Ukr Math J 48, 636–640 (1996). https://doi.org/10.1007/BF02390625

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  • DOI: https://doi.org/10.1007/BF02390625

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