Generalized procedure of separation of variables and reduction of nonlinear wave equations

• Datum: 2009
• Hauptverfasser: Barannyk, T. A., Barannyk, A. F., Yuryk, I. I., Баранник, Т. А., Баранник, А. Ф., Юрик, І. І.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2009
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3065
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We propose a generalized procedure of separation of variables for nonlinear wave equations and construct broad classes of exact solutions of these equations that cannot be obtained by the classical Lie method and the method of conditional symmetries.