Effect of grain size-distribution on dust acoustic solitons

The investigation of dust-acoustic solitons when ions are adiabatically heated, whereas dust grains are size-distributed, is conducted. The solitary solutions are shown to undergo a transformation into snoidal ones. The Mach numbers allowing bounded oscillatory solutions are increased, but the allowed Mach numbers range becomes strongly compressed. The permeability of dust grains enhances the constraints on the existence of the above-mentioned solutions.