Soliton and Nonlinear Explosion Modes in an Ion-Beam Plasma System

Nonlinear wave evolutions are studied both numerically and analytically in an ion-beam plasma system. In the linearly stable case solitons associated with linear eigen modes inherent in the system are shown to be mutually independent K-dV solitons so long as their amplitudes are smaller than a certain critical value. In the case of supercritical amplitudes, nonlinear explosion modes are found, whose analytical solution is obtained near the critical point.