R.Das
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 e i T T (= 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 1 1 0 0 0 i d d io e n Z n n n ( d Z is the number of elementary charges residing on the dust grain) and its amplitude increases as 1 increases. Furthermore, they are found to exist only in the lower regime of 1 . On the other hand, compressive fast ion acoustic solitons exist only in the upper regime of 1 .