This review is an elementary introduction to the concepts of the recently developed
asymptotic methods and new developments. Particular attention is paid throughout the …

The identification of the Lagrange multiplier plays an import rule in the variational iteration
method, and the variational theory is widely used for this purpose. This paper suggests an …

This article applies the homotopy perturbation transform technique to analyze fractional-
order nonlinear fifth-order Korteweg–de-Vries-type (KdV-type)/Kawahara-type equations …

The homotopy perturbation method is extremely accessible to non-mathematicians and
engineers. The method decomposes a complex problem under study into a series of simple …

In this paper, a non-classical beam model based on the Eringen's nonlocal elasticity theory
is proposed for nonlinear vibration of nanobeams with axially immovable ends. This non …

Solutions of singular IVPs of Lane–Emden type by homotopy perturbation method -
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In this Letter, the Exp-function method is used to construct solitary and soliton solutions of
nonlinear evolution equations. The Klein–Gordon, Burger–Fisher and Sharma–Tasso–Olver …

In this article, the local fractional Homotopy perturbation method is utilized to solve the non-
homogeneous heat conduction equations. The operator is considered in the sense of the …

The variational iteration method (VIM) has been in the last two decades, one of the most
used semi-analytical techniques for approximating nonlinear differential equations. The …

A new generalized solitary solution of the Jaulent–Miodek equations is obtained using the
Exp-function method. By a transformation, the solitary solution can be easily converted into a …