Nonlinear oscillators with rational terms: A new semi-analytical technique


1 Department of Mathematics, Zhejiang University, Hangzhou 310027, China

2 Department of Mathematics, Islamic Azad University, Najafabad Branch, P.O.Box 85141-43131, Najafabad, Iran


This paper presents a new generalization of the standard homotopy analysis approach towards solving nonlinear oscillators equations with rational terms. By using this method, analytical approximations to the frequency of these oscillators and periodic
solutions are calculated. Excellent agreement of the approximate frequencies and periodic
solutions with exact ones is demonstrated and discussed. It is shown that this method is very simple, e ective and convenient for solving nonlinear oscillator problems with rational terms.