NONLINEAR PROPAGATION OF ION-ACOUSTIC-WAVES AND LOW-FREQUENCY ELECTROSTATIC MODES IN A DUSTY PLASMA

Nonlinear propagation of ion-acoustic waves and low-frequency electros tatic modes in a dusty plasma is investigated. The evolution equations of these modes are developed and solved analytically. It is found tha t for small grain charge usual ion-acoustic solitons may exist in a du sty plasma, but increasing grain charge destroys them and finally they may disappear. The low-frequency electrostatic mode may be localized, forming solitons, which may act as centres of wave scattering in a du sty plasma.