caa a22 4500 386368260 CHVBK 20180307111944.0 cr unu---uuuuu 161130e198910 xx s 000 0 eng 10.1017/S0022377800014331 doi S0022377800014331 pii (NATIONALLICENCE)cambridge-10.1017/S0022377800014331 Exact nonlinear wave solutions of the incompressible magnetohydrodynamic equations in a non-uniform magnetic field [Elektronische Daten] Exact wave solutions of the nonlinear magnetohydrodynamic equations for a highly conducting incompressible fluid within an axisymmetric container are obtained. It is shown that there are four types of exact wave solutions with large amplitude in a non-uniform magnetic field. These solutions are very useful because they can be expressed in terms of arbitrary scalar functions and they are applicable to astrophysical and laboratory plasmas as well as the earth's core. The solutions also include as special cases the nonlinear Alfvén waves in a uniform magnetic field and in a circular magnetic field found respectively by Walén (1944) and by Namikawa & Hamabata (1987, 1988). Copyright © Cambridge University Press 1989 Hamabata Hiromitsu Department of Physics, Faculty of Science, Osaka City University, Osaka 558, Japan Namikawa Tomikazu Department of Physics, Faculty of Science, Osaka City University, Osaka 558, Japan Journal of Plasma Physics Cambridge University Press 42/2(1989-10), 247-256 0022-3778 42:2<247 1989 42 PLA https://doi.org/10.1017/S0022377800014331 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0022377800014331 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hamabata Hiromitsu Department of Physics, Faculty of Science, Osaka City University, Osaka 558, Japan NATIONALLICENCE 700 1- Namikawa Tomikazu Department of Physics, Faculty of Science, Osaka City University, Osaka 558, Japan NATIONALLICENCE 773 0- Journal of Plasma Physics Cambridge University Press 42/2(1989-10), 247-256 0022-3778 42:2<247 1989 42 PLA CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence SWISSBIB 386368260 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge