Propagation of ion-acoustic solitons in a warm ion-beam—plasma system

Abstract

The reductive perturbation method is employed to investigate the excitation of ion-acoustic solitons in an ion-beam—plasma system consisting of warm ions and isothermal electrons through which a warm ion beam is propagating. Korteweg—de Vries and Korteweg–de Vries-type equations are obtained for the first- and second-order perturbed potentials respectively. The renormalization method is used to remove the secular terms. It is found that both the amplitude and the width of the soliton are strongly affected by the ion temperatures as well as the velocity of the ion beam. An alternative method is used to make a comparison with the solution obtained by the perturbation method.