Multi-soliton rational solutions for quantum Zakharov-Kuznetsov equation in quantum magnetoplasmas

Abstract

In this paper, the multi-soliton rational solutions are obtained for quantum Zakharov–Kuznetsov equation in quantum magnetoplasmas via the generalised unified method. Compared with the Hirota’s method and the inverse scattering method, the proposed method gives more general exact multi-wave solutions without much extra effort. The obtained results show that the generalised unified method provides a powerful mathematical tool for solving many nonlinear evolution equations arising in different branches of science. To give more physical insights into the obtained solutions, we present graphically their representative structures by setting the parameter which is proportional to the ratio of the strength of magnetic field to the electronic Fermi temperature in the solutions of the quantum Zakharov–Kuznetsov equation as specific values.