Preliminary group classification of the general quasi-linear wave equation

• Date: 2006
• Author Affiliations: P. Basarab-Horwath; V. Lahno
• Keywords: keywords
• Main Authors: Basarab-Horwath, P., Lahno, V., Басараб-Хорват, П., Лагно, В.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/378
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

We begin the group classification of quasi-linear second-order wave equations of the most general form. We find the canonical forms for the symmetry operators which generate the invariance group of the equation, as well as the equivalence group, and we describe those equations which admit one- and t...