The aim of the present paper is to study nonlinear system of partial differential equations (PDEs) involving both complexand real-valued unknown functions. We shall extend the use of the first integral method ”based on the theory of commutative algebra” to construct new solutions to the coupled Higgs field equations, the Davey-Sterwatson (DS) equations and the coupled Klein-Gordon- Zakharov equations. All the algebraic computations in this work are performed using Mathematica software
The Ito system was previously been shown to admit a reduction to a single nonlinear Casimir equation...
In this paper, we investigate the first integral method for solving the solutions of Maccari’s syste...
In this paper we compute first integrals of nonlinear ordinary differential equations using the exte...
AbstractIn this paper, the first integral method is used to construct exact solutions of the Hamilto...
AbstractIn this present work, we explore new applications of direct algebraic method for some specia...
This paper deals with constructing more general exact solutions of the coupled Higgs equation by usi...
In this paper, we show the applicability of the first integral method for obtaining exact solutions ...
Abstract:New solutions of some important partial differential equations are obtained using the first...
The first integral method can be used to construct exact traveling wave solutions of nonlinear parti...
Recently ([1]) we have obtained a novel derivation of first integrals and inte-grating factors for o...
AbstractIn recent years, many approaches have been utilized for finding the exact solutions of nonli...
Problems that are modeled by nonlinear evolution equations occur in many areas of applied sciences. ...
AbstractIn this paper, we establish exact solutions for complex nonlinear equations. The He’s semi-i...
The Exp-function method is applied to construct a new type of solution of the coupled (2+1)-dimensio...
AbstractIn this article, the exp(−Φ(ξ))-expansion method has been successfully implemented to seek t...
The Ito system was previously been shown to admit a reduction to a single nonlinear Casimir equation...
In this paper, we investigate the first integral method for solving the solutions of Maccari’s syste...
In this paper we compute first integrals of nonlinear ordinary differential equations using the exte...
AbstractIn this paper, the first integral method is used to construct exact solutions of the Hamilto...
AbstractIn this present work, we explore new applications of direct algebraic method for some specia...
This paper deals with constructing more general exact solutions of the coupled Higgs equation by usi...
In this paper, we show the applicability of the first integral method for obtaining exact solutions ...
Abstract:New solutions of some important partial differential equations are obtained using the first...
The first integral method can be used to construct exact traveling wave solutions of nonlinear parti...
Recently ([1]) we have obtained a novel derivation of first integrals and inte-grating factors for o...
AbstractIn recent years, many approaches have been utilized for finding the exact solutions of nonli...
Problems that are modeled by nonlinear evolution equations occur in many areas of applied sciences. ...
AbstractIn this paper, we establish exact solutions for complex nonlinear equations. The He’s semi-i...
The Exp-function method is applied to construct a new type of solution of the coupled (2+1)-dimensio...
AbstractIn this article, the exp(−Φ(ξ))-expansion method has been successfully implemented to seek t...
The Ito system was previously been shown to admit a reduction to a single nonlinear Casimir equation...
In this paper, we investigate the first integral method for solving the solutions of Maccari’s syste...
In this paper we compute first integrals of nonlinear ordinary differential equations using the exte...