Symmetry and non-lie reduction of the nonlinear Schrödinger equation

• Datum: 1993
• Hauptverfasser: Fushchich, V. I., Chopik, V. I., Фущич, В. І., Чопик, В. І.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1993
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5841
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

The nonlinear Schrödinger-type equations invariant with respect to the extended Galilean group are described. We study the conditional symmetry of such equations, realize the reduction procedure, and construct the classes of exact solutions.