Abstract
Formation and interaction of solitons and nonlinear explosion modes is numerically studied in an ion-beam plasma system under a linearly stable condition. When the initial amplitude of a sinusoidal wave is small, a train of solitons come up, collide with one another and reconstruct the initial state. For a large amplitude wave, there appears a nonlinear explosion mode which explodes at a finite time. The effect of the explosive instability on the wave evolution is also studied.
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