Analysis of complete integrability of a system inverse to the nonlinear Benney-Kaup system

• Datum: 1993
• Hauptverfasser: Drobotskaya, I. S., Дробоцька, I. C.
• 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/5816
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We study a system inverse to the nonlinear dynamical Benney-Kaup system. For this system, we prove the existence of an infinite hierarchy of functionally independent and involution conservation laws; a pair of implicative and Noetherian operators is constructed which enables one to write the system...