Solitons and other solutions to quantum Zakharov–Kuznetsov equation in quantum magneto-plasmas

In this paper, the soliton solutions to the quantum Zakharov–Kuznetsov equation in quantum dusty plasmas have been investigated. A few integration tools have been applied to extract the soliton solutions to the governing equation. The topological, non-topological, singular soliton and complexion solutions are obtained. Additionally, the periodic and singular periodic solutions are listed. Finally, the ansatz method has been employed to retrieve a singular 1-soliton solution to the equation for power law nonlinearity. In this case, a constraint condition naturally falls out and it serves as a pre-conditioning criteria for singular soliton to exist. (author)