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In this work, we study some models of scalar fields in 1+1 dimensions withnon-linear self-interactions. Here, we show how it is possible to extend thesolutions recently reported in the literature for some classes of nonlinearequations like the nonlinear Klein-Gordon equation, the generalizedCamassa-Holm and the Benjamin-Bona-Mahony equations. It is shown that thesolutions obtained by Yomba [1], when using the so-called auxiliary equationmethod, can be reached by mapping them into some known nonlinear equations.This is achieved through a suitable sequence of translation and power-liketransformations. Particularly, the parent-like equations used here are the onesfor the $\lambda \phi^4$ model and the Weierstrass equation. This last one,allow us to get oscillating solutions for the models under analysis. We alsosystematize the approach in order to show how to get a larger class ofnonlinear equations which, as far as we know, were not taken into account inthe literature up to now.

A mapping function approach applied to some classes of nonlinear equations