Abstract
In this paper, the higher-dimensional complex nonlinear Klein–Gordon equation is investigated. We firstly use a transformation to separate this equation into a nonlinear ordinary differential equation (ODE) and a set of partial differential equations (PDE). And then, we solve these two families of equations, respectively. Finally many types of solutions of the higher-dimensional complex nonlinear Klein–Gordon equation are obtained, and when N⩾2, these solutions contain two arbitrary functions which lead to abundant structures.
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