caa a22 4500 386367914 CHVBK 20180307111943.0 cr unu---uuuuu 161130e198906 xx s 000 0 eng 10.1017/S0022377800013994 doi S0022377800013994 pii (NATIONALLICENCE)cambridge-10.1017/S0022377800013994 Self-focusing of nonlinear ion-acoustic waves and solitons in magnetized plasmas. Part 3. Arbitrary-angle perturbations, period doubling of waves [Elektronische Daten] Nonlinear waves, solutions of the Zakharov-Kuznetsov (ZK) equation for a dilute plasma immersed in a strong magnetic field, are studied numerically. It is found that the most unstable mode rides with the carrier wave and leads to period doubling. Owing to the simplicity of the ZK equation, this and other phenomena, similar to those observed for gravity waves on a water surface, can be fully investigated. Analytical methods are also explored. An expansion in the carrier-wave amplitude leads to good estimates for growth rates, a result so far unobtainable for water waves. This paper can be read independently of parts 1 and 2, but a brief summary of all three parts is given at the end. Copyright © Cambridge University Press 1989 Frycz P. Soltan Institute for Nuclear Studies, Hoza 69, Warsaw 00-681, Poland Infeld E. Department of Applied Mathematics and Theoretical Physics, Silver Street, Cambridge CB3 9EW, U.K. Journal of Plasma Physics Cambridge University Press 41/3(1989-06), 441-446 0022-3778 41:3<441 1989 41 PLA https://doi.org/10.1017/S0022377800013994 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0022377800013994 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Frycz P. Soltan Institute for Nuclear Studies, Hoza 69, Warsaw 00-681, Poland NATIONALLICENCE 700 1- Infeld E. Department of Applied Mathematics and Theoretical Physics, Silver Street, Cambridge CB3 9EW, U.K NATIONALLICENCE 773 0- Journal of Plasma Physics Cambridge University Press 41/3(1989-06), 441-446 0022-3778 41:3<441 1989 41 PLA CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge