Journal
CHINESE PHYSICS B
Volume 23, Issue 7, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1674-1056/23/7/070505
Keywords
dust-acoustic waves; reductive perturbation method; modified Riemann-Liouville fractional derivative; space-time fractional KdV-Burgers equation
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The KdV-Burgers equation for dust acoustic waves in unmagnetized plasma having electrons, singly charged non-thermal ions, and hot and cold dust species is derived using the reductive perturbation method. The Boltzmann distribution is used for electrons in the presence of the cold (hot) dust viscosity coefficients. The semi-inverse method and Agrawal variational technique are applied to formulate the space-time fractional KdV-Burgers equation which is solved using the fractional sub-equation method. The effect of the fractional parameter on the behavior of the dust acoustic shock waves in the dusty plasma is investigated.
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