New exact solitary wave and multiple soliton solutions of quantum Zakharov–Kuznetsov equation

摘要

By employing auxiliary equation method and Hirota bilinear method, the quantum Zakharov–Kuznetsov equation which arises in quantum magnetoplasma is investigated. With the aid of symbolic computation, both solitary wave solutions and multiple-soliton solutions are obtained. These new exact solutions will extend previous results and help us explain the properties of multidimensional nonlinear ion-acoustic waves in dense magnetoplasma.