Ion Acoustic Solitary Waves in a Beam Plasma System

For a warm beam plasma moves through the background plasma, the Korteweg de-Vries equation is derived by using the reduced pertubation method for hydrodynamic equations governing the plasma system. Under the weak beam conditions, there are four ion acoustic wave modes, of which, two correspond to the slow and fast solitary waves. The amplitudes of these solitary waves in relation with the parameters of plasma are calculated. It is found that large positive and negative solitary waves can occur over certain parameter ranges.