Abstract

An arbitrary Klein-Gordon field with a quite general constrained condition (which contains an arbitrary function) can be used as an auxilialy field such that some special types of solutions of high order scalar fields can be obtain by solving an ordinary differential equation (ODE). For a special type of constraint, the general solution of the ODE can be obtained by twice integrating. The solitary wave solutions of the model ф5 are treated in an alternative simple way. The obtained solutions of the ф5 model can be changed to those of the ф8 field and coupled scalar fields.

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