New exact solitary wave solutions of the Zakharov–Kuznetsov equation in the electron–positron–ion plasmas

In this paper, the Zakharov–Kuznetsov equation which describes the propagation of the electrostatic excitations in the electron–positron–ion (e–p–i) plasmas are investigated. New exact solitary wave solutions are obtained using Hirota’s bilinear method and generalized three-wave type of ansatz approach. These new exact solutions will enrich previous results and help us further understand the physical structures and analyze the dynamics of the electrostatic solitons in the e–p–i plasmas. Parametric analysis is carried out in order to illustrate that the soliton amplitude, width and velocity are affected by phase velocity, ion-to-electron density ratio, rotation frequency and cyclotron frequency.