This review features a survey of some recent developments in asymptotic techniques and
new developments, which are valid not only for weakly nonlinear equations, but also for …

The current paper investigates the dynamical property of a pendulum attached to a rotating
rigid frame with a constant angular velocity about the vertical axis passing to the pivot point …

In this paper, a strongly nonlinear oscillator equation with higher-order nonlinear (cubic)
restoring force, namely damped Duffing equation with higher-order nonlinearities, has been …

In this paper, we derive the exact solution of the cubic-quintic Duffing oscillator based on the
use of Jacobi elliptic functions. We also showed that the exact angular frequency of this …

The current paper is concerned with the motion of a rocking uniform rigid rod, without
slipping, over a rigid circular surface. The governing equation of motion resulted in a highly …

This paper applies He's Energy balance method (EBM) to study periodic solutions of
strongly nonlinear systems such as nonlinear vibrations and oscillations. The method is …

Homotopy Perturbation Method (HPM) was used for computing the Coupled Whitham–Broer–
Kaup Shallow Water. Then HPM solution verified against exact one and compared with …

This study is concerned with two well-known systems of nonlinear oscillators. One of them is
a system consists of a mass grounded two springs which one of those springs is linear and …

In this paper, nonlinear dynamic behaviour of the carbon nanotube conveying fluid in slip
boundary conditions is studied using the variation iteration method. The developed solutions …

In this paper, He's energy balance method is applied to nonlinear oscillators. The new
algorithm offers a promising approach by constructing a Hamiltonian for the nonlinear …