The relations among a special type of solutions in some (D+1)-dimensional nonlinear equations

Among a special type of solutions of some kinds of nonlinear equations in (D+1) dimensions such as the cubic nonlinear Klein–Gordon, sine–Gordon, double sine–Gordon, Ginzburg–Landau equations, etc., some mapping relations exist that allow one to find a solution of one system from a solution of another. Furthermore, one can find some new solutions from a known one within the same system. Some new N-kinklike solutions are also presented.