caa a22 4500 469066539 CHVBK 20180323132910.0 cr unu---uuuuu 170328e19921101xx s 000 0 eng 10.1007/BF02726093 doi (NATIONALLICENCE)springer-10.1007/BF02726093 Elhefnawy Abdel Department of Mathematics, Faculty of Science, Banha University, 13518, Banha, Egypt aut Nonlinear propagation of wave packets in superposed magnetic fluids [Elektronische Daten] [Abdel Elhefnawy] Summary: The nonlinear propagation of wave packets on an interface separating two magnetic fluids of finite thickness, stressed by a normal magnetic field in the absence of free currents on the interface, is considered in two dimensions. It is shown that the evolution of the amplitude is governed by two Schrödinger equations with cubic nonlinearity. One of these equations is used to determine the nonlinear cut-off wave number separating the regions of instability from those of stability. The other Schrödinger equation is used to analyse the stability of the system. The stability of the system is discussed both analytically and numerically and the stability diagrams are obtained. The stability analysis reveals the existence of more than one region of stability. Società Italiana di Fisica, 1992 47.65 nationallicence Magnetohydrodynamics and electrohydrodynamics nationallicence 68.10.La nationallicence Hydrodynamics: oscillations and waves nationallicence instabilities nationallicence Il Nuovo Cimento B (1971-1996) Società Italiana di Fisica 107/11(1992-11-01), 1279-1289 107:11<1279 1992 107 40764 https://doi.org/10.1007/BF02726093 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02726093 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Elhefnawy Abdel Department of Mathematics, Faculty of Science, Banha University, 13518, Banha, Egypt aut NATIONALLICENCE 773 0- Il Nuovo Cimento B (1971-1996) Società Italiana di Fisica 107/11(1992-11-01), 1279-1289 107:11<1279 1992 107 40764 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer