2019
Том 71
№ 8

All Issues

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

Fedorchuk V. M.

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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.

English version (Springer): Ukrainian Mathematical Journal 48 (1996), no. 4, pp 636-640.

Citation Example: Fedorchuk V. M. Symmetry reduction and some exact solutions of a nonlinear five-dimensional wave equation // Ukr. Mat. Zh. - 1996. - 48, № 4. - pp. 573-576.

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