Dynamical Processes of the Dressed Ion Acoustic Solitons

Abstract

Dynamical processes of the dressed ion acoustic solitons have been numerically analyzed by solving the coupled set of the first order Korteweg-de Vries equation and the second order equation, which has been derived on a basis of the reductive perturbation theory. A single soliton dressed by clouds of thc second order perturbation potential exhausts ion acoustic wave behind when it travels down free space. On the other hand, in collision processes of two dressed solitons, the clouds around the Korteweg-da Vries soliton core redistribute themselves in such a way to equalize the heights of colliding pairs. Structure of the clouds suggests that effective attractive interaction acts between the colliding pairs of the dressed solitons.