Cent. Eur. J. Phys. • 12(11) • 2014 • 799-804 DOI: 10.2478/s11534-013-0240-2 Central European Journal of Physics Effects of polarization force and nonthermal ions on dust-acoustic (DA) shock waves in a strongly coupled dusty plasma with positively charged dust Research Article Shikha Pervin, Khandaker S. Ashrafi, M S Zobaer ∗ , Md. Salahuddin, A A Mamun Department of Physics, Jahangirnagar University, Savar, Dhaka-1342, Bangladesh Received 28 January 2012; accepted 21 April 2013 Abstract: The nonlinear propagation of the dust-acoustic (DA) waves in a strongly coupled dusty plasma containing Maxwellian electrons, nonthermal ions, and positively charged dust is theoritically investigated by a Burgers equation. The effects of the polarization force (which arises due to the interaction between electrons and highly positively charged dust grains) and nonthermal ions are studied. DA shock waves are found to exist with positive potential only. It represents that the strong correlation among the charged dust grains is a source of dissipation, and is responsible for the formation of DA shock waves. The effects of polarization force and nonthermal ions significantly modified the basic features of DA shock waves in strongly coupled dusty plasma. PACS (2008): 94.05.-a;94.90.+m Keywords: Burges equation • nonthermal ions • dust-acoustic waves © Versita sp. z o.o. 1. Introduction The linear properties of the dust-acoustic (DA) waves (in which dust particle mass provides the inertia, and electron and ion thermal pressures provide the restoring force) as well as dust-lattice (DL) waves (in which inertia comes from the dust mass and the restoring force comes from the Debye-Hückel interaction) in a strongly coupled dusty plasma system have been rigorously investigated by many authors during the last decade [1–5]. About a decade ago, ∗ E-mail: salim.zobaer.ju@gmail.com Rao et al. [6] theoritically predicted the existance of lin- ear and nonlinear dust-acoustic waves in an unmagnetized dusty plasma, in which the dust grains are weakly corre- lated so that the electrostatic energy of shielded grains is much smaller than the kinetic energy of the dust par- ticles. Mamun et al. [7] have discussed the formation of dust-acoustic (DA) waves, taking into account the effects of vortex-like and nonthermal ions distribution. Wang et al. [8], Lin et al. [9], Mamun and Shukla [10], have consid- ered nonthermal ions, and negatively charged dust [11– 15] and studied the dust-acoustic (DA) solitary and shock waves. A limited number of theoretical investigations has also been made on nonlinear propagation of DA and DL waves in strongly coupled dusty plasma [16–20]. Shukla 799