N. Ya. Kotsarenko, Yu. G. Rapoport, A. A. Shvidkij*
and Yu. V. Khotyaintsev**
Astronomy and Space Physics Department, Kyiv Shevchenko University, Glushkov pr. 6, Kyiv 22, 252022 UKRAINE
* Now at University of Toledo, Toledo, USA
** Now at Swedish Institute of Space Physics, S-75591 Uppsala
Abstract
The problem of nonlinear waves and structures in magnetized plasma was investigated. Integrals of automodel equations with arbitrary amplitudes were obtained. Two possible types of solitons, compressive and rarefactive, and three types of structures are obtained for cold plasma approximation. A comparison of the exact solution of nonlinear problem and small amplitude approximation solution was performed. It is shown that for intermediate values of angles between wave vector and magnetic field the range of validity for small amplitude solution could be wider then it used to be excepted.