On the variational homotopy perturbation method for nonlinear oscillators

TL;DR

This paper critically examines a variational homotopy perturbation method applied to nonlinear oscillators, highlighting inconsistencies in the main equations that undermine its practical utility.

Contribution

The paper identifies fundamental inconsistencies in the variational homotopy perturbation method when applied to simple nonlinear oscillators.

Findings

Main equations are inconsistent

Results have limited utility due to theoretical issues

Highlights need for method refinement

Abstract

In this paper we discuss a recent application of a variational homotopy perturbation method to rather simple nonlinear oscillators . We show that the main equations are inconsistent and for that reason the results may be of scarce utility.