Pseudopotential Approach for Dust Ion Acoustic Solitary Waves in Quantum Dusty Plasmas

Sagdeev's pseudopotential method is used to study the propagation characteristics of dust ion acoustic solitary waves in an unmagnetized quantum dusty plasma by employing one dimensional quantum hydrodynamic model together with the Poisson equation. The asymptotic expansion has been used to obtain the pseudopotential function for small value of quantum diffraction parameter H. The existence domain of quantum dust ion acoustic wave has been investigated in terms of true Mach number limits. The numerical results show that the dust impurities can affect the amplitude, width and also the existence domain of the soliton. Effects of the quantum diffraction parameter on the width of the soliton is also discussed.