Effect of nonadiabatic dust charge variations on nonlinear dust acoustic waves with nonisothermal ions

The effect of nonadiabatic dust charge variation on the nonlinear dust acoustic wave in a dusty plasma consisting of warm adiabatic dust grains, isothermal electrons and nonisothermal ions have been investigated by reductive perturbation technique. It has been shown that due to the nonadiabatic dust charge variation and also for the presence of nonisothermal ions, nonlinear dust acoustic wave is governed by a modified Korteweg–de Vries Burger (mKdVB) equation. The Burger term arises due to the nonadiabatic dust charge variation, whereas the nonlinear terms are modified due the different effects of nonisothermal ions. Numerical integration of mKdVB equation shows that the nonlinear dust acoustic wave admits negative potentials with the oscillatory (dispersion dominant) or monotonic (dissipation dominant) shock transition and exhibits compressional shock wave.