Bulg. J. Phys. vol.38 no.4 (2011), pp. 409-419
Shock Waves in a Dusty Plasma with Positive and Negative Dust, where Electrons Are Superthermally Distributed
S.K. Kundu1, D.K. Ghosh1, P. Chatterjee1, B. Das2
1Department of Mathematics, Siksha Bhavana Visva Bharati University, Santiniketan, India
2Dhaltikuri K.N. High School, P.O. Dhaltikuri, Dist. Birbhum, India
go back1Department of Mathematics, Siksha Bhavana Visva Bharati University, Santiniketan, India
2Dhaltikuri K.N. High School, P.O. Dhaltikuri, Dist. Birbhum, India
Abstract. Using the reductive perturbation technique, Burgers' equation is derived for studying the behavior of dust acoustic (DA) shock waves in an unmagnetized dusty plasma, whose constituents are kappa-distributed (superthermal) electrons, Boltzmann distributed ions and positively and negatively charged dust particles. The solution of Burgers' equation is numerically analyzed. The effects of spectral index κ on the properties of DA shock waves is discussed. It is found that the spectral index κ changes the amplitude of the DA shock waves significantly. The present investigation may be helpful in the understanding of the nonlinear propagation of waves in the pulsar magnetosphere.

