Space-time fractional KdV-Burgers equation for dust acoustic shock waves in dusty plasma with non-thermal ions

作者：El Shewy Emad K; Mahmoud Abeer A; Tawfik Ashraf M; Abulwafa Essam M^*; Elgarayhi Ahmed

来源：Chinese Physics B, 2014, 23(7): 070505.

DOI：10.1088/1674-1056/23/7/070505

• dust-acoustic waves
• reductive perturbation method
• modified Riemann-Liouville fractional derivative
• space-time fractional KdV-Burgers equation

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.

• 出版日期2014-7