Dynamical behavior of the soliton formation and propagation in magnetized plasma

Despite many theoretical studies on soliton formation and its propagation i n plasmas, no study with multicomponent magnetized plasma has derived the s pecial nonlinear wave equation, called the Zakharov-Kuznetsov equation [V. E. Zakharov and E. A. Kuznetsov, Sov. Phys. JETP 39, 285 (1974)]. Thus, the main emphasis has been given to employing the hyperbolic-type method for f inding the soliton features in relation to laboratory and space plasma envi ronments. Where this method has been unsuccessful, an alternate method has been developed to yield the soliton propagation. The features of the nonlin ear plasma-acoustic waves, which depend on the plasma composition, affect t he coexistence of compressive and rarefactive solitary waves. Later, allowi ng for the higher order nonlinearity in the dynamics, one is led to further different solitary waves along with double layers. The main aim of the pre sent study is to use a new formalism for finding the soliton propagation fr om the nonlinear wave equation with strong, as well as weak, nonlinearity. The coexistence of different nonlinear acoustic modes due to the interactio n of multiple charges in plasma is shown. Moreover, the theoretical observa tions revealed many other soliton-like structures, which could be similar t o the dip and hump solitons observed by the Freja Scientific Satellite and the collapsed solitons expected in the propagation of solar flares, as well as in the interplanetary space plasmas. (C) 2000 American Institute of Phy sics. [S1070-664X(00)00606-6].