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

We analyze the common errors of the recent papers in which the solitary wave solutions of
nonlinear differential equations are presented. Seven common errors are formulated and …

An efficient technique, namely Exp-function method is used to construct the new exact
analytic solutions of universal problem fractional modified unstable Schrödinger equation …

The modified simplest equation method to look for the exact solutions of the nonlinear
differential equations is presented. Our approach is applied to search for the exact solutions …

In this study, the nonlinear (2+ 1)-dimensional generalized breaking soliton system has
been studied by introducing an appropriate travelling wave transformation. The model under …

An improved (G′/G)-expansion method is proposed to seek more general travelling wave
solutions of nonlinear evolution equations. We choose the Zakharov–Kuznetsov–BBM …

The Korteweg-de Vries and the Korteweg-de Vries–Burgers equations are considered.
Using the travelling wave the general solutions of these equations are presented.“New …

This research is based on finding new soliton solutions of Mikhailov-Novikov-Wang
integrable equation. Three most efficient and reliable techniques have been employed in …

In this work, a competent and efficient technique namely Exp-function method is used to find
the solitary wave solutions of time fractional simplified modified Camassa-Holm equation …

A improvement of the expansion methods namely the improved\tan\left (\varPhi (ξ)/2\right)
tan Φ (ξ)/2-expansion method for solving the Tzitzéica type nonlinear evolution equations is …