application of the new extended (g'/g) -expansion method to find exact solutions for nonlinear partial differential equation

Application of the new extended (G'/G) -expansion method to find exact solutions for nonlinear partial differential equation

In recent years, numerous approaches have been utilized for finding the exact solutions to nonlinear partial differential equations. One such method is known as the new extended (G'/G)-expansion method and was proposed by Roshid et al. In this paper, we apply this method and achieve exact solutions to nonlinear partial differential equations (NLPDEs), namely the Benjamin-Ono equation. It is est...

New Exact Solutions for New Model Nonlinear Partial Differential Equation

In this paper we propose a new form of Padé-II equation, namely, a combined Padé-II andmodified Padé-II equation.Themapping method is a promising method to solve nonlinear evaluation equations. Therefore, we apply it, to solve the combined PadéII and modified Padé-II equation. Exact travelling wave solutions are obtained and expressed in terms of hyperbolic functions, trigonometric functions, r...

Exact solutions of a linear fractional partial differential equation via characteristics method

‎In recent years‎, ‎many methods have been studied for solving differential equations of fractional order‎, ‎such as Lie group method, ‎invariant subspace method and numerical methods‎, ‎cite{6,5,7,8}‎. Among this‎, ‎the method of characteristics is an efficient and practical method for solving linear fractional differential equations (FDEs) of multi-order‎. In this paper we apply this method f...

A New Extended (G′/G)-Expansion Method to Find Exact Traveling Wave Solutions of Nonlinear Evolution Equations

In this paper, we propose a new extended (G′/G)-expansion method to construct exact traveling wave solutions for nonlinear evolution equations. To check the validity and effectiveness of our method, we implement it to the (2+1)-dimensional typical breaking soliton equation.The results that we get are more general and successfully recover most of the previously known solutions which have been fo...

Exact and numerical solutions for nonlinear differential equation of Jeffrey-Hamel flow

On the Exact Solution for Nonlinear Partial Differential Equations

In this study, we aim to construct a traveling wave solution for nonlinear partial differential equations. In this regards, a cosine-function method is used to find and generate the exact solutions for three different types of nonlinear partial differential equations such as general regularized long wave equation (GRLW), general Korteweg-de Vries equation (GKDV) and general equal width wave equ...