Reduction of the multidimensional d’Alembert equation to two-dimensional equations
Abstract
We give a classification of the maximal subalgebras of rank n−1 for the extended Poincare algebra AˉP(1.n), which is realized on the set of solutions of the d'Alembeit equation ◻u+λuk=0. These subalgebras are used for constructing the anzatses reducing this equation to differential equations with two invariant variables.Downloads
Published
25.06.1994
Issue
Section
Research articles
How to Cite
Barannyk, A. F., et al. “Reduction of the Multidimensional d’Alembert Equation to Two-Dimensional Equations”. Ukrains’kyi Matematychnyi Zhurnal, vol. 46, no. 6, June 1994, pp. 651–662, https://umj.imath.kiev.ua/index.php/umj/article/view/5692.