In this paper, a new generalized exponential rational function method is employed to
extract new solitary wave solutions for the Zakharov–Kuznetsov equation (ZKE). The
ZKE exhibits the behavior of weakly nonlinear ion-acoustic waves in incorporated hot
isothermal electrons and cold ions in the presence of a uniform magnetic field.
Furthermore, the stability for the governing equations is investigated via the aspect of
linear stability analysis. Numerical simulations are made to shed light on the
characteristics of the obtained solutions