In this paper, we mainly study the Gardner equation that models the propagation of dust ion
acoustic waves. By using the Exp-function method, abundant traveling wave solutions like …

A fractal modification of the combined KdV–mKdV equation which plays a key role in various
fields of physics is presented in this work for the first time. Aided by the fractal two-scale …

In this study, we derive a new fractional Gardner equation with the conformable fractional
derivative for the first time. Using the extended F-expansion method, different traveling wave …

Solar radiation, along with cosmic radiation, ionizes the Earth's atmosphere and creates a
dense layer known as the ionosphere. By considering weakly relativistic degenerate plasma …

From a theoretical viewpoint, dark matter is a prerequisite entity in the formation processes
of large-scale structures on the cosmological (galactic) scales of space and time. The …

This theoretical investigation has been done to develop a mathematical model which could
used to study such plasma system in the space where electrons follow non-extensive …

Using the reductive perturbation method, we have derived the Zakharov-Kuznetsov equation
for a multi-component plasma model consisting of electrons, positrons, and fluid ions with …

Nonlinear features are revealed by one of the most competent and powerful approaches, ie
soliton theory. The present article starts with the dust collisionless magnetized plasma where …

In this article, the system for the long–short-wave interaction (LS) system is considered. In
order to construct some new traveling wave solutions, He's semi-inverse method is …

We consider the stochastic nonlinear Schrödinger equation in Itô sense with multiplicative
noise. Moreover, we apply the He's semiinverse and tanh-coth techniques in order to get …