Reduction of the multidimensional d’Alembert equation to two-dimensional equations

• Date: 1994
• Main Authors: Barannyk, A. F., Barannik, L. F., Fushchich, V. I., Баранник, А. Ф., Баранник, Л. Ф., Фущич, В. И.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1994
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5692
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We give a classification of the maximal subalgebras of rank $n - 1$ for the extended Poincare algebra $A\bar P (1.n)$, which is realized on the set of solutions of the d'Alembeit equation $\square u + \lambda u^k = 0$. These subalgebras are used for constructing the anzatses reducing this...