Complex mechanical systems usually include nonlinear interactions between their
components which can be modeled by nonlinear equations describing the sophisticated …

In this article, we construct exact solutions of the Bogoyavlenskii equation using (1/G′)-
expansion and (G′/G, 1/G)-expansion techniques. Both techniques have been successfully …

This paper presents the impact of vibrational amplitude on the dynamic pull-in instability and
fundamental frequency of actuated microbeams by introducing the second order frequency …

The symmetry design of the system contains integer partial differential equations and
fractional-order partial differential equations with fractional derivative. In this paper, we …

In this paper, the nonlinear vibration analysis of axially functionally graded (AFG) non-
uniform nanobeams is performed based on Eringen's nonlocal theory and Euler–Bernoulli …

The current paper illustrates the effect of in-plane varying compressive force on critical
buckling loads and buckling modes of sandwich composite laminated beam rested on …

In this article, modified versions of variational iteration algorithms are presented for the
numerical simulation of the diffusion of oil pollutions. Three numerical examples are given to …

This paper presents the high order frequency-amplitude relationship for nonlinear
transversely vibrating beams with odd and even nonlinearities, using Homotopy …

In this paper, a new adaption of homotopy analysis method is presented to handle nonlinear
problems. The proposed approach is capable of reducing the size of calculations and easily …

This article presents a new iterative method (NIM) for the investigation of the approximate
solution of the Klein‐Gordon and sine‐Gordon equations. This approach is formulated on …