Nonlinear excitation and stability analysis of ion-acoustic waves in a magnetized quantum plasma with exchange-correlation effects of degenerate electrons

Highlights: • Two dimensional propagation of ion acoustic soliton in a magnetized dense plasma is studied. • The quantum effects of electrons such as Bohm diffraction and exchange-correlation potential are included in the model. • The reductive perturbation method (RPM) is used to derive the Zakharov-Kuznetsov (ZK) equation. • The growth rates of first and second order instabilities of 2D soliton with angle of transverse perturbations to the magnetic field are discussed. • Exchange-correlation effect of electrons plays an effective role on the stability of the 2D soliton in magnetized dense plasma. -- Abstract: The nonlinear ion-acoustic wave excitation and its stability analysis are investigated in a magnetized quantum plasma with exchange-correlation and Bohm diffraction effects of degenerate electrons in the model. Using reductive perturbation technique, the Zakharov-Kuznetsov (ZK) equation is derived for two dimensional propagation of ion-acoustic wave in a magnetized quantum plasma. It is found that the phase speed, amplitude and width of the nonlinear ion-acoustic wave structures are affected in the presence of exchange-correlation potential in the model. The stability analysis of the 2D ion-acoustic wave pulse is also presented. It is found that growth rate of the first and second order instabilities of 2D ion acoustic wave soliton is enhanced with the inclusion of exchange-correlation potential effect in the model.