This paper features a survey of some recent developments in asymptotic techniques, which
are valid not only for weakly nonlinear equations, but also for strongly ones. Further, the …

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

In this paper, a new method, called Exp-function method, is proposed to seek solitary
solutions, periodic solutions and compacton-like solutions of nonlinear differential …

This paper is an elementary introduction to the concepts of variational iteration method. First,
the main concepts in variational iteration method, such as general Lagrange multiplier …

Variational iteration method has been favourably applied to various kinds of nonlinear
problems. The main property of the method is in its flexibility and ability to solve nonlinear …

It is known that the Laplace transform method is used to solve only a finite class of linear
differential equations. In this paper, we suggest a new method that relies on a new fractional …

In this Letter, homotopy perturbation method (HPM), which does not need small parameters
in the equations, is compared with the perturbation and numerical methods in the heat …

New periodic solutions for nonlinear evolution equations using Exp-function method - ScienceDirect
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This paper is an elementary introduction to some new asymptotic methods for the search for
the solitary solutions of nonlinear differential equations, nonlinear differential‐difference …

We present and discuss an algorithm for the numerical solution of initial value problems of
the form $ D_*^\alpha $ y (t)= f (t, y (t)), y (0)= y0, where $ D_*^\alpha $ y is the derivative of y …