Abstract
Time-dependent cylindrical and spherical dust-acoustic (DA) solitary and shock waves propagating in a strongly coupled dusty plasma in the presence of polarization force (which arises due to the interaction between thermal ions and highly negatively charged dust grains) are investigated. It is shown that cylindrical and spherical DA solitary and shock waves exist with negative potential, and that the strong correlation among the charged dust grains is a source of dissipation, and is responsible for the formation of cylindrical or spherical DA shock structures. It is also shown that the effects of polarization force significantly modify the basic features (e.g. amplitude, width, and speed) of cylindrical or spherical DA solitary or shock structures. The implications of our results in laboratory experiments are briefly discussed.
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