Nonplanar ion acoustic waves in collisional quantum plasma

The dynamics of nonlinear ion acoustic waves (IAWs) is studied in homogeneous, unmagnetized, collisional quantum plasma consisting of electrons and ions in bounded nonplanar (cylindrical/spherical) geometries. By using the reductive perturbation method, the nonplanar Kakutani and Kawahara equation is derived to investigate the nonlinear quantum IAW profiles. The dissipation is introduced by taking into account the collision among the plasma constituents in presence of quantum diffraction effect. Numerically, the effects of various plasma parameters, such as, the collisional parameter (η), the quantum diffraction parameter H, have been examined on the propagation of nonplanar IAW structures in quantum plasma. It is shown that in nonplanar geometry, plasma parameters play a vital role on the basic features of nonlinear structures (viz. amplitude, width, speed, and so on). It is also found that the properties of IAW structures in nonplanar geometry significantly differ from those in planar geometry.