Abstract
The basic features of planar and nonplanar time-dependent dust-ion acoustic Gardner solitary waves have been studied in an unmagnetized dusty plasma system consisting of positively and negatively charged dust, Boltzmann distributed ions and nonextensive q-distributed electrons. The modified Gardner equation is derived by employing the reductive perturbation technique, which is beyond the Korteweg-de Vries (KdV) limit (corresponding to the vanishing of nonlinear coefficient of the KdV equation). It has been observed that the nonextensive q-distribution of electrons has a significant effect on the MG equation and also plays an important role beyond the KdV limit.
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