Interaction of a weakly relativistic soliton in the magnetized plasma

The results of analytical investigations on the properties of two-dimensional (2D) magnetosonic solitons with a relativistic amplitude are presented in the presence of an applied static and uniform magnetic field B 0. In the weakly relativistic limit, a Kadomtsev-Petviashvili (KP) equation is derived for the 2D relativistic magnetosonic soliton by a reductive perturbation method. The N line-soliton solution of the KP equation is presented. The interaction law of the line solitons is studied by figure analysis, which shows that the elastic and inelastic interactions of the line solitons are all possible and determined by the Wronskian determinant.