Propagation and Collision Phenomena of Ion Acoustic ZK Solitons in Quantum Plasmas: Effects of External Force and Exchange–Correlation Potential of Degenerate Electrons

Propagation of ion acoustic waves (IAWs) and collision of double-, triple-, and quadruple IAWs have been studied in a magnetized plasma system consisting of cold ions and degenerate electrons. It is considered that the ions are inertial and non-degenerate while the electrons are degenerate and non-inertial. The reductive perturbation method is used to derive the Zakharov-Kuznetsov (ZK) equation. The multi-soliton solutions of the ZK equation are derived using the Hirota bilinear method. The consequences of external periodic force and exchange–correlation potential on the propagation and overtaking collision of ion acoustic (IA) ZK solitons are investigated taking into account the plasma parameters as observed in astrophysical objects. The considered quantum fluid model is valid for astrophysical conditions in non-relativistic degenerate plasmas where the plasma density and magnetic field strength are 10^26≤n_0≤10^29𝐜𝐦^-3 and 10^6≤B_0≤10^9 G, respectively. It is found that the amplitude and width of the IAZK solitons are modified due to the periodic force and exchange–correlation potential. It is also found that the large-amplitude solitons always overtake the smaller one.