The purpose of this study is threefold. First, it derives newly developed two-mode nonlinear
equations, two-mode perturbed Burgers' and two-mode Ostrovsky models. Second, it …

In this paper, we establish a new nonlinear equation which is called the two-mode Korteweg–
de Vries–Burgers equation (TMKdV–BE). The new equation describes the propagation of …

We found trivial conservation laws by conservation theorem and exact solutions modified
extended tanh-function method of (1+ 1)-dimensional nonlinear coupled Klein–Gordon …

The goal of this study is twofold. The Jacobi elliptic expansion method is used to extract new
solutions for the phi-four equation and the breaking soliton system. Special values of the …

In this study, with the help of Wolfram Mathematica 9 software, the powerful sine-Gordon
expansion method is used in constructing new hyperbolic function solutions to the two well …

A nonlinear Schrodinger equation which governs the dynamics of solitons through
metamaterials has been solved using mapping methods which give a variety of solutions in …

This aim of this paper is threefold. A survey of trigonometric-hyperbolic function methods for
constructing solitary wave solutions of nonlinear equations. Further analysis of the sine …

In this article, we develop a numerical approximation for first-order hyperbolic equations on
semi-infinite domains by using a spectral collocation scheme. First, we propose the …

This research sought to find an approximate solution to the partial differential equations
(PDEs) by relying on a method based on the commutative algebra theory, and this method is …

In this present work, the Coupled Higgs Field Equation, which is a nonlinear evolution
equation (NLEE), is reduced to a nonlinear ordinary differential equation (NLODE) using …