Hierarchy of the matrix Burgers equations and integrable reductions in the Davey-Stewartson system

• Datum: 1998
• Hauptverfasser: Samoilenko, V. G., Sidorenko, Yu. M., Самойленко, В. Г., Сидоренко, Ю. М.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1998
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4959
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We investigate integrable reductions in the Davey-Stewartson model and introduce the hierarchy of the matrix Burgers equations. By using the method of nonlocal reductions in linear problems associated with the hierarchy of the Davey-Stewartson-II equations, we establish a nontrivial relation between...