In this article, we investigate the nonlinear model describing the various physical and
chemical phenomena named the Kuramoto–Sivashinsky equation. We implemented the …

The motive of the work is to propose a new hybrid technique, the Homotopy Perturbation
General Transform Method (HPGTM) for obtaining an analytic solution for a wide class of …

HIV-1 infection is a dangerous diseases like Cancer, AIDS, etc. Many mathematical models
have been introduced in the literature, which are investigated with different approaches. In …

This article presents a homotopy perturbation transform method and a variational iterative
transform method for analyzing the fractional-order non-linear system of the unsteady flow of …

Smoking is a social trend that is prevalent around the world, particularly in places of learning
and at some significant events. The World Health Organization defines smoking as the most …

The aim of this manuscript is to find the analytical solutions of the Korteweg–de Vries (KdV)
equation with dual power law nonlinearity using the exp-function method. The KdV equation …

In this article, the new iterative transform technique and homotopy perturbation transform
method are applied to calculate the fractional‐order Cauchy‐reaction diffusion equation …

The homotopy perturbation transform method was examined in the present research to
address the nonlinear time-fractional Korteweg-de Vries equations using a nonsingular …

In this study, the numerical simulation of the fractional nonlinear third-order Schrödinger (3-
FNLS) problem is processed by applying the novel homotopy perturbation (NHP) method …

This paper has applied a hybrid method called the homotopy perturbation transformation
technique to solve fractional‐order Newell‐Whitehead‐Segel equations. First, we used the …