Extractions of some new travelling wave solutions to the conformable Date-Jimbo-Kashiwara-Miwa equation

In this paper, complex and combined dark-bright characteristic properties of nonlinear Date-Jimbo-Kashiwara-Miwa equation with conformable are extracted by using two powerful analytical approaches. Many graphical representations such as 2D, 3D and contour are also reported. Finally, general conclusions of about the novel findings are introduced at the end of this manuscript

Trigonometric Function Solutions of Fractional Drinfeld's Sokolov -Wilson System

In this paper, we construct exact trigonometric solutions of the space-time fractional classical Drinfeld's Sokolov-Wilson system by Modified Trial Equation Method (MTEM). These solutions may explain some physical phenomena and lead to researchers in physics and engineering

Trigonometric Function Solutions of Fractional Drinfeld's Sokolov -Wilson System

In this paper, we construct exact trigonometric solutions of the space-time fractional classical Drinfeld's Sokolov-Wilson system by Modified Trial Equation Method (MTEM). These solutions may explain some physical phenomena and lead to researchers in physics and engineering

A new analytical method to the conformable chiral nonlinear Schrödinger equation in the quantum Hall effect

In this work, our goal is to find more general exact travelling wave solutions of the (1+1)- and (2+1)-dimensional nonlinear chiral Schrödinger equation with conformable derivative by using a newly developed analytical method. The governing model has a very important role in quantum mechanics, especially in the field of quantum Hall effect where chiral excitations are present. In two-dimensional electron systems, subjected to strong magnetic fields and low temperatures, the quantum Hall effect can be observed. By using the method, called the rational sine-Gordon expansion method which is a generalised form of the sine-Gordon expansion method, we found complex dark and bright solitary wave solutions. These solutions have important applications in the quantum Hall effect

On the complex mixed dark-bright wave distributions to some conformable nonlinear integrable models

In this research paper, we implement the sine-Gordon expansion method to two governingmodels which are the (2+1)-dimensional Nizhnik–Novikov–Veselov equation and the Caudrey–Dodd–Gibbon–Sawada–Kotera equation. We use conformable derivative to transform these non-linear partial differential models to ordinary differential equations. We find some wave solutionshaving trigonometric function, hyperbolic function. Under the strain conditions of these solu-tions obtained in this paper, various simulations are plotted

Novel explicit solutions for the nonlinear Zoomeron equation by using newly extended direct algebraic technique

This paper presents an analytical solver which is known as a generalization of types methodologies. With the proposed method, one of the old but at the same time popular problem is considered, which is known as nonlinear Zoomeron equation, and its analytical solutions are tried to obtain. Moreover, the known solutions, many new analytical solutions are obtained via the proposed method. Plotting some simulations of the solutions, we can present a conclusion