Abstract:
The existence of Korteweg-de Vries (KdV) solitons has been established in an unmagnetized warm dusty plasma consisting of positive ion, electrons and static negatively charged dust particles. Depending upon (= ion to electron temperature), only fast compressive and rarefactive ion-acoustic solitons are found to exist. The amplitude of the rarefactive fast ion acoustic solitons exists only for smaller values of ( is the number of elementary charges residing on the dust grain) and its amplitude increases as increases. Furthermore, they are found to exist only in the lower regime of . On the other hand, compressive fast ion acoustic solitons exist only in the upper regime of .
Keywords: Electron inertia, Soliton, Solitary wave.