Dust acoustic solitary and shock waves in coupled dusty plasmas with variable dust charge and isononthermal ions

This paper investigates an unmagnetized strongly coupled dusty plasma with Boltzmann distributed electrons, isononthermal distributed ions and negatively charged dust grains with variable charge. The modified Kadomstev-Petviashvili-Burgers equation is derived for this system, according to the general method of reductive perturbation theory. Solitonic and shock wave solutions are produced in this medium. Solutions stability and variation of amplitude and width of waves with respect to densities, temperatures and free temperature-trapped ion temperature ratio are also discussed.